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Finding the Fourth Proportional to 1,357.32, 2,036.13 and 432.92

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Solution

The fourth proportional to 1,357.32, 2,036.13 and 432.92 is: 649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.32 : 2,036.13 = 432.92 : x
  2. Step 2: Convert to fraction form
    1,357.32/2,036.13 = 432.92/x
  3. Step 3: Cross multiply
    1,357.32x = 2,036.13 × 432.92
  4. Step 4: Simplify right side
    1,357.32x = 881,481.40
  5. Step 5: Solve for x
    x = 881,481.40/1,357.32
  6. Step 6: Final answer
    x = 649.43

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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.