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Finding the Fourth Proportional to 637.84, 958.56 and 594.10

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Solution

The fourth proportional to 637.84, 958.56 and 594.10 is: 892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.84 : 958.56 = 594.10 : x
  2. Step 2: Convert to fraction form
    637.84/958.56 = 594.10/x
  3. Step 3: Cross multiply
    637.84x = 958.56 × 594.10
  4. Step 4: Simplify right side
    637.84x = 569,480.50
  5. Step 5: Solve for x
    x = 569,480.50/637.84
  6. Step 6: Final answer
    x = 892.83

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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.