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Finding the Fourth Proportional to 1,357.27, 2,035.96 and 432.89

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Solution

The fourth proportional to 1,357.27, 2,035.96 and 432.89 is: 649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.27 : 2,035.96 = 432.89 : x
  2. Step 2: Convert to fraction form
    1,357.27/2,035.96 = 432.89/x
  3. Step 3: Cross multiply
    1,357.27x = 2,035.96 × 432.89
  4. Step 4: Simplify right side
    1,357.27x = 881,335.46
  5. Step 5: Solve for x
    x = 881,335.46/1,357.27
  6. Step 6: Final answer
    x = 649.35

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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.