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Finding the Fourth Proportional to 1,114.20, 1,670.10 and 593.86

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Solution

The fourth proportional to 1,114.20, 1,670.10 and 593.86 is: 890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.20 : 1,670.10 = 593.86 : x
  2. Step 2: Convert to fraction form
    1,114.20/1,670.10 = 593.86/x
  3. Step 3: Cross multiply
    1,114.20x = 1,670.10 × 593.86
  4. Step 4: Simplify right side
    1,114.20x = 991,805.59
  5. Step 5: Solve for x
    x = 991,805.59/1,114.20
  6. Step 6: Final answer
    x = 890.15

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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.