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Finding the Fourth Proportional to 1,048.52, 1,447.08 and 675.48

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Solution

The fourth proportional to 1,048.52, 1,447.08 and 675.48 is: 932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.52 : 1,447.08 = 675.48 : x
  2. Step 2: Convert to fraction form
    1,048.52/1,447.08 = 675.48/x
  3. Step 3: Cross multiply
    1,048.52x = 1,447.08 × 675.48
  4. Step 4: Simplify right side
    1,048.52x = 977,473.60
  5. Step 5: Solve for x
    x = 977,473.60/1,048.52
  6. Step 6: Final answer
    x = 932.24

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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.