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Finding the Fourth Proportional to 915.81, 1,263.62 and 542.91

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Solution

The fourth proportional to 915.81, 1,263.62 and 542.91 is: 749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.81 : 1,263.62 = 542.91 : x
  2. Step 2: Convert to fraction form
    915.81/1,263.62 = 542.91/x
  3. Step 3: Cross multiply
    915.81x = 1,263.62 × 542.91
  4. Step 4: Simplify right side
    915.81x = 686,031.93
  5. Step 5: Solve for x
    x = 686,031.93/915.81
  6. Step 6: Final answer
    x = 749.10

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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.