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Finding the Fourth Proportional to 1,416.57, 2,125.68 and 594.78

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Solution

The fourth proportional to 1,416.57, 2,125.68 and 594.78 is: 892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.57 : 2,125.68 = 594.78 : x
  2. Step 2: Convert to fraction form
    1,416.57/2,125.68 = 594.78/x
  3. Step 3: Cross multiply
    1,416.57x = 2,125.68 × 594.78
  4. Step 4: Simplify right side
    1,416.57x = 1,264,311.95
  5. Step 5: Solve for x
    x = 1,264,311.95/1,416.57
  6. Step 6: Final answer
    x = 892.52

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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.