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Finding the Fourth Proportional to 1,130.72, 1,560.15 and 633.29

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Solution

The fourth proportional to 1,130.72, 1,560.15 and 633.29 is: 873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.72 : 1,560.15 = 633.29 : x
  2. Step 2: Convert to fraction form
    1,130.72/1,560.15 = 633.29/x
  3. Step 3: Cross multiply
    1,130.72x = 1,560.15 × 633.29
  4. Step 4: Simplify right side
    1,130.72x = 988,019.59
  5. Step 5: Solve for x
    x = 988,019.59/1,130.72
  6. Step 6: Final answer
    x = 873.80

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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.