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Finding the Fourth Proportional to 1,042.56, 1,437.90 and 648.84

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Solution

The fourth proportional to 1,042.56, 1,437.90 and 648.84 is: 894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.56 : 1,437.90 = 648.84 : x
  2. Step 2: Convert to fraction form
    1,042.56/1,437.90 = 648.84/x
  3. Step 3: Cross multiply
    1,042.56x = 1,437.90 × 648.84
  4. Step 4: Simplify right side
    1,042.56x = 932,967.04
  5. Step 5: Solve for x
    x = 932,967.04/1,042.56
  6. Step 6: Final answer
    x = 894.88

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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.