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Finding the Fourth Proportional to 1,356.57, 2,034.59 and 432.13

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Solution

The fourth proportional to 1,356.57, 2,034.59 and 432.13 is: 648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.57 : 2,034.59 = 432.13 : x
  2. Step 2: Convert to fraction form
    1,356.57/2,034.59 = 432.13/x
  3. Step 3: Cross multiply
    1,356.57x = 2,034.59 × 432.13
  4. Step 4: Simplify right side
    1,356.57x = 879,207.38
  5. Step 5: Solve for x
    x = 879,207.38/1,356.57
  6. Step 6: Final answer
    x = 648.11

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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.