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Finding the Fourth Proportional to 915.60, 1,263.54 and 542.45

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Solution

The fourth proportional to 915.60, 1,263.54 and 542.45 is: 748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.60 : 1,263.54 = 542.45 : x
  2. Step 2: Convert to fraction form
    915.60/1,263.54 = 542.45/x
  3. Step 3: Cross multiply
    915.60x = 1,263.54 × 542.45
  4. Step 4: Simplify right side
    915.60x = 685,400.96
  5. Step 5: Solve for x
    x = 685,400.96/915.60
  6. Step 6: Final answer
    x = 748.58

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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.