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Finding the Fourth Proportional to 771.64, 1,064.54 and 538.90

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Solution

The fourth proportional to 771.64, 1,064.54 and 538.90 is: 743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.64 : 1,064.54 = 538.90 : x
  2. Step 2: Convert to fraction form
    771.64/1,064.54 = 538.90/x
  3. Step 3: Cross multiply
    771.64x = 1,064.54 × 538.90
  4. Step 4: Simplify right side
    771.64x = 573,680.61
  5. Step 5: Solve for x
    x = 573,680.61/771.64
  6. Step 6: Final answer
    x = 743.46

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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.