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Finding the Fourth Proportional to 1,110.47, 1,665 and 590.15

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Solution

The fourth proportional to 1,110.47, 1,665 and 590.15 is: 884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.47 : 1,665 = 590.15 : x
  2. Step 2: Convert to fraction form
    1,110.47/1,665 = 590.15/x
  3. Step 3: Cross multiply
    1,110.47x = 1,665 × 590.15
  4. Step 4: Simplify right side
    1,110.47x = 982,591.43
  5. Step 5: Solve for x
    x = 982,591.43/1,110.47
  6. Step 6: Final answer
    x = 884.85

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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.