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Finding the Fourth Proportional to 1,158.89, 1,598.86 and 661.17

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Solution

The fourth proportional to 1,158.89, 1,598.86 and 661.17 is: 912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.89 : 1,598.86 = 661.17 : x
  2. Step 2: Convert to fraction form
    1,158.89/1,598.86 = 661.17/x
  3. Step 3: Cross multiply
    1,158.89x = 1,598.86 × 661.17
  4. Step 4: Simplify right side
    1,158.89x = 1,057,125.09
  5. Step 5: Solve for x
    x = 1,057,125.09/1,158.89
  6. Step 6: Final answer
    x = 912.19

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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.