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Finding the Fourth Proportional to 1,158.04, 1,597.16 and 715.78

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Solution

The fourth proportional to 1,158.04, 1,597.16 and 715.78 is: 987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.04 : 1,597.16 = 715.78 : x
  2. Step 2: Convert to fraction form
    1,158.04/1,597.16 = 715.78/x
  3. Step 3: Cross multiply
    1,158.04x = 1,597.16 × 715.78
  4. Step 4: Simplify right side
    1,158.04x = 1,143,215.18
  5. Step 5: Solve for x
    x = 1,143,215.18/1,158.04
  6. Step 6: Final answer
    x = 987.20

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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.