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Finding the Fourth Proportional to 953.40, 1,316.28 and 731.91

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Solution

The fourth proportional to 953.40, 1,316.28 and 731.91 is: 1,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.40 : 1,316.28 = 731.91 : x
  2. Step 2: Convert to fraction form
    953.40/1,316.28 = 731.91/x
  3. Step 3: Cross multiply
    953.40x = 1,316.28 × 731.91
  4. Step 4: Simplify right side
    953.40x = 963,391.91
  5. Step 5: Solve for x
    x = 963,391.91/953.40
  6. Step 6: Final answer
    x = 1,010.49

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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.