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Finding the Fourth Proportional to 625.84, 938.78 and 597.76

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Solution

The fourth proportional to 625.84, 938.78 and 597.76 is: 896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.84 : 938.78 = 597.76 : x
  2. Step 2: Convert to fraction form
    625.84/938.78 = 597.76/x
  3. Step 3: Cross multiply
    625.84x = 938.78 × 597.76
  4. Step 4: Simplify right side
    625.84x = 561,165.13
  5. Step 5: Solve for x
    x = 561,165.13/625.84
  6. Step 6: Final answer
    x = 896.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.