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Finding the Fourth Proportional to 1,281.48, 1,766.36 and 1,001.23

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Solution

The fourth proportional to 1,281.48, 1,766.36 and 1,001.23 is: 1,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.48 : 1,766.36 = 1,001.23 : x
  2. Step 2: Convert to fraction form
    1,281.48/1,766.36 = 1,001.23/x
  3. Step 3: Cross multiply
    1,281.48x = 1,766.36 × 1,001.23
  4. Step 4: Simplify right side
    1,281.48x = 1,768,530.71
  5. Step 5: Solve for x
    x = 1,768,530.71/1,281.48
  6. Step 6: Final answer
    x = 1,380.07

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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.