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Finding the Fourth Proportional to 953.05, 1,429.14 and 433.03

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Solution

The fourth proportional to 953.05, 1,429.14 and 433.03 is: 649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.05 : 1,429.14 = 433.03 : x
  2. Step 2: Convert to fraction form
    953.05/1,429.14 = 433.03/x
  3. Step 3: Cross multiply
    953.05x = 1,429.14 × 433.03
  4. Step 4: Simplify right side
    953.05x = 618,856.92
  5. Step 5: Solve for x
    x = 618,856.92/953.05
  6. Step 6: Final answer
    x = 649.35

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.