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Finding the Fourth Proportional to 1,417.14, 2,125.91 and 594.90

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Solution

The fourth proportional to 1,417.14, 2,125.91 and 594.90 is: 892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.14 : 2,125.91 = 594.90 : x
  2. Step 2: Convert to fraction form
    1,417.14/2,125.91 = 594.90/x
  3. Step 3: Cross multiply
    1,417.14x = 2,125.91 × 594.90
  4. Step 4: Simplify right side
    1,417.14x = 1,264,703.86
  5. Step 5: Solve for x
    x = 1,264,703.86/1,417.14
  6. Step 6: Final answer
    x = 892.43

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