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Finding the Fourth Proportional to 945.22, 1,302.71 and 724.70

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Solution

The fourth proportional to 945.22, 1,302.71 and 724.70 is: 998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.22 : 1,302.71 = 724.70 : x
  2. Step 2: Convert to fraction form
    945.22/1,302.71 = 724.70/x
  3. Step 3: Cross multiply
    945.22x = 1,302.71 × 724.70
  4. Step 4: Simplify right side
    945.22x = 944,068.28
  5. Step 5: Solve for x
    x = 944,068.28/945.22
  6. Step 6: Final answer
    x = 998.78

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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.