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Finding the Fourth Proportional to 915.37, 1,263.22 and 542.21

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Solution

The fourth proportional to 915.37, 1,263.22 and 542.21 is: 748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.37 : 1,263.22 = 542.21 : x
  2. Step 2: Convert to fraction form
    915.37/1,263.22 = 542.21/x
  3. Step 3: Cross multiply
    915.37x = 1,263.22 × 542.21
  4. Step 4: Simplify right side
    915.37x = 684,922.84
  5. Step 5: Solve for x
    x = 684,922.84/915.37
  6. Step 6: Final answer
    x = 748.25

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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.