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Finding the Fourth Proportional to 1,003.71, 1,504.80 and 587.73

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Solution

The fourth proportional to 1,003.71, 1,504.80 and 587.73 is: 881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.71 : 1,504.80 = 587.73 : x
  2. Step 2: Convert to fraction form
    1,003.71/1,504.80 = 587.73/x
  3. Step 3: Cross multiply
    1,003.71x = 1,504.80 × 587.73
  4. Step 4: Simplify right side
    1,003.71x = 884,413.17
  5. Step 5: Solve for x
    x = 884,413.17/1,003.71
  6. Step 6: Final answer
    x = 881.14

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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.