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Finding the Fourth Proportional to 1,105.52, 1,656.48 and 714.56

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Solution

The fourth proportional to 1,105.52, 1,656.48 and 714.56 is: 1,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.52 : 1,656.48 = 714.56 : x
  2. Step 2: Convert to fraction form
    1,105.52/1,656.48 = 714.56/x
  3. Step 3: Cross multiply
    1,105.52x = 1,656.48 × 714.56
  4. Step 4: Simplify right side
    1,105.52x = 1,183,654.35
  5. Step 5: Solve for x
    x = 1,183,654.35/1,105.52
  6. Step 6: Final answer
    x = 1,070.68

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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.