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Finding the Fourth Proportional to 953.50, 1,429.20 and 485.32

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Solution

The fourth proportional to 953.50, 1,429.20 and 485.32 is: 727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.50 : 1,429.20 = 485.32 : x
  2. Step 2: Convert to fraction form
    953.50/1,429.20 = 485.32/x
  3. Step 3: Cross multiply
    953.50x = 1,429.20 × 485.32
  4. Step 4: Simplify right side
    953.50x = 693,619.34
  5. Step 5: Solve for x
    x = 693,619.34/953.50
  6. Step 6: Final answer
    x = 727.45

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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.