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Finding the Fourth Proportional to 1,087.81, 1,501.15 and 590.43

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Solution

The fourth proportional to 1,087.81, 1,501.15 and 590.43 is: 814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.81 : 1,501.15 = 590.43 : x
  2. Step 2: Convert to fraction form
    1,087.81/1,501.15 = 590.43/x
  3. Step 3: Cross multiply
    1,087.81x = 1,501.15 × 590.43
  4. Step 4: Simplify right side
    1,087.81x = 886,326.27
  5. Step 5: Solve for x
    x = 886,326.27/1,087.81
  6. Step 6: Final answer
    x = 814.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.