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Finding the Fourth Proportional to 1,001.61, 1,501.40 and 480.85

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Solution

The fourth proportional to 1,001.61, 1,501.40 and 480.85 is: 720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.61 : 1,501.40 = 480.85 : x
  2. Step 2: Convert to fraction form
    1,001.61/1,501.40 = 480.85/x
  3. Step 3: Cross multiply
    1,001.61x = 1,501.40 × 480.85
  4. Step 4: Simplify right side
    1,001.61x = 721,945.64
  5. Step 5: Solve for x
    x = 721,945.64/1,001.61
  6. Step 6: Final answer
    x = 720.79

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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.