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Finding the Fourth Proportional to 771.01, 1,064.15 and 538

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Solution

The fourth proportional to 771.01, 1,064.15 and 538 is: 742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.01 : 1,064.15 = 538 : x
  2. Step 2: Convert to fraction form
    771.01/1,064.15 = 538/x
  3. Step 3: Cross multiply
    771.01x = 1,064.15 × 538
  4. Step 4: Simplify right side
    771.01x = 572,512.70
  5. Step 5: Solve for x
    x = 572,512.70/771.01
  6. Step 6: Final answer
    x = 742.55

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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.