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Finding the Fourth Proportional to 943.59, 1,302.11 and 545.24

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Solution

The fourth proportional to 943.59, 1,302.11 and 545.24 is: 752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.59 : 1,302.11 = 545.24 : x
  2. Step 2: Convert to fraction form
    943.59/1,302.11 = 545.24/x
  3. Step 3: Cross multiply
    943.59x = 1,302.11 × 545.24
  4. Step 4: Simplify right side
    943.59x = 709,965.03
  5. Step 5: Solve for x
    x = 709,965.03/943.59
  6. Step 6: Final answer
    x = 752.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.