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Finding the Fourth Proportional to 1,133.60, 1,566.96 and 1,042.88

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Solution

The fourth proportional to 1,133.60, 1,566.96 and 1,042.88 is: 1,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.60 : 1,566.96 = 1,042.88 : x
  2. Step 2: Convert to fraction form
    1,133.60/1,566.96 = 1,042.88/x
  3. Step 3: Cross multiply
    1,133.60x = 1,566.96 × 1,042.88
  4. Step 4: Simplify right side
    1,133.60x = 1,634,151.24
  5. Step 5: Solve for x
    x = 1,634,151.24/1,133.60
  6. Step 6: Final answer
    x = 1,441.56

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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.