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Finding the Fourth Proportional to 1,287.12, 1,929.24 and 555.60

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Solution

The fourth proportional to 1,287.12, 1,929.24 and 555.60 is: 832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.12 : 1,929.24 = 555.60 : x
  2. Step 2: Convert to fraction form
    1,287.12/1,929.24 = 555.60/x
  3. Step 3: Cross multiply
    1,287.12x = 1,929.24 × 555.60
  4. Step 4: Simplify right side
    1,287.12x = 1,071,885.74
  5. Step 5: Solve for x
    x = 1,071,885.74/1,287.12
  6. Step 6: Final answer
    x = 832.78

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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.