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Finding the Fourth Proportional to 777.64, 1,073.04 and 462.90

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Solution

The fourth proportional to 777.64, 1,073.04 and 462.90 is: 638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.64 : 1,073.04 = 462.90 : x
  2. Step 2: Convert to fraction form
    777.64/1,073.04 = 462.90/x
  3. Step 3: Cross multiply
    777.64x = 1,073.04 × 462.90
  4. Step 4: Simplify right side
    777.64x = 496,710.22
  5. Step 5: Solve for x
    x = 496,710.22/777.64
  6. Step 6: Final answer
    x = 638.74

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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.