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Finding the Fourth Proportional to 745.40, 1,116.32 and 432.14

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Solution

The fourth proportional to 745.40, 1,116.32 and 432.14 is: 647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.40 : 1,116.32 = 432.14 : x
  2. Step 2: Convert to fraction form
    745.40/1,116.32 = 432.14/x
  3. Step 3: Cross multiply
    745.40x = 1,116.32 × 432.14
  4. Step 4: Simplify right side
    745.40x = 482,398.78
  5. Step 5: Solve for x
    x = 482,398.78/745.40
  6. Step 6: Final answer
    x = 647.17

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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.