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Finding the Fourth Proportional to 1,357.08, 2,034.32 and 432.13

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Solution

The fourth proportional to 1,357.08, 2,034.32 and 432.13 is: 647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.08 : 2,034.32 = 432.13 : x
  2. Step 2: Convert to fraction form
    1,357.08/2,034.32 = 432.13/x
  3. Step 3: Cross multiply
    1,357.08x = 2,034.32 × 432.13
  4. Step 4: Simplify right side
    1,357.08x = 879,090.70
  5. Step 5: Solve for x
    x = 879,090.70/1,357.08
  6. Step 6: Final answer
    x = 647.78

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