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Finding the Fourth Proportional to 625.77, 862.75 and 513.32

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Solution

The fourth proportional to 625.77, 862.75 and 513.32 is: 707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.77 : 862.75 = 513.32 : x
  2. Step 2: Convert to fraction form
    625.77/862.75 = 513.32/x
  3. Step 3: Cross multiply
    625.77x = 862.75 × 513.32
  4. Step 4: Simplify right side
    625.77x = 442,866.83
  5. Step 5: Solve for x
    x = 442,866.83/625.77
  6. Step 6: Final answer
    x = 707.72

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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.