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Finding the Fourth Proportional to 1,087.86, 1,501.25 and 590.50

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Solution

The fourth proportional to 1,087.86, 1,501.25 and 590.50 is: 814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.86 : 1,501.25 = 590.50 : x
  2. Step 2: Convert to fraction form
    1,087.86/1,501.25 = 590.50/x
  3. Step 3: Cross multiply
    1,087.86x = 1,501.25 × 590.50
  4. Step 4: Simplify right side
    1,087.86x = 886,480.49
  5. Step 5: Solve for x
    x = 886,480.49/1,087.86
  6. Step 6: Final answer
    x = 814.88

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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.