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Finding the Fourth Proportional to 1,287.60, 1,775.82 and 763.14

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Solution

The fourth proportional to 1,287.60, 1,775.82 and 763.14 is: 1,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.60 : 1,775.82 = 763.14 : x
  2. Step 2: Convert to fraction form
    1,287.60/1,775.82 = 763.14/x
  3. Step 3: Cross multiply
    1,287.60x = 1,775.82 × 763.14
  4. Step 4: Simplify right side
    1,287.60x = 1,355,199.27
  5. Step 5: Solve for x
    x = 1,355,199.27/1,287.60
  6. Step 6: Final answer
    x = 1,052.50

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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.