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Finding the Fourth Proportional to 1,158.43, 1,598.19 and 715.57

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Solution

The fourth proportional to 1,158.43, 1,598.19 and 715.57 is: 987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.43 : 1,598.19 = 715.57 : x
  2. Step 2: Convert to fraction form
    1,158.43/1,598.19 = 715.57/x
  3. Step 3: Cross multiply
    1,158.43x = 1,598.19 × 715.57
  4. Step 4: Simplify right side
    1,158.43x = 1,143,616.82
  5. Step 5: Solve for x
    x = 1,143,616.82/1,158.43
  6. Step 6: Final answer
    x = 987.21

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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.