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Finding the Fourth Proportional to 1,130.59, 1,560.18 and 710.97

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Solution

The fourth proportional to 1,130.59, 1,560.18 and 710.97 is: 981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.59 : 1,560.18 = 710.97 : x
  2. Step 2: Convert to fraction form
    1,130.59/1,560.18 = 710.97/x
  3. Step 3: Cross multiply
    1,130.59x = 1,560.18 × 710.97
  4. Step 4: Simplify right side
    1,130.59x = 1,109,241.17
  5. Step 5: Solve for x
    x = 1,109,241.17/1,130.59
  6. Step 6: Final answer
    x = 981.12

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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.