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Finding the Fourth Proportional to 1,049.42, 1,574.40 and 432.92

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Solution

The fourth proportional to 1,049.42, 1,574.40 and 432.92 is: 649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.42 : 1,574.40 = 432.92 : x
  2. Step 2: Convert to fraction form
    1,049.42/1,574.40 = 432.92/x
  3. Step 3: Cross multiply
    1,049.42x = 1,574.40 × 432.92
  4. Step 4: Simplify right side
    1,049.42x = 681,589.25
  5. Step 5: Solve for x
    x = 681,589.25/1,049.42
  6. Step 6: Final answer
    x = 649.49

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Double scale
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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.