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Finding the Fourth Proportional to 1,287.32, 1,931.34 and 518.36

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Solution

The fourth proportional to 1,287.32, 1,931.34 and 518.36 is: 777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.32 : 1,931.34 = 518.36 : x
  2. Step 2: Convert to fraction form
    1,287.32/1,931.34 = 518.36/x
  3. Step 3: Cross multiply
    1,287.32x = 1,931.34 × 518.36
  4. Step 4: Simplify right side
    1,287.32x = 1,001,129.40
  5. Step 5: Solve for x
    x = 1,001,129.40/1,287.32
  6. Step 6: Final answer
    x = 777.68

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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.