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Finding the Fourth Proportional to 1,003.09, 1,502.56 and 590.96

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Solution

The fourth proportional to 1,003.09, 1,502.56 and 590.96 is: 885.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.09 : 1,502.56 = 590.96 : x
  2. Step 2: Convert to fraction form
    1,003.09/1,502.56 = 590.96/x
  3. Step 3: Cross multiply
    1,003.09x = 1,502.56 × 590.96
  4. Step 4: Simplify right side
    1,003.09x = 887,952.86
  5. Step 5: Solve for x
    x = 887,952.86/1,003.09
  6. Step 6: Final answer
    x = 885.22

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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.