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Finding the Fourth Proportional to 1,158.78, 1,597.45 and 716.43

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Solution

The fourth proportional to 1,158.78, 1,597.45 and 716.43 is: 987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.78 : 1,597.45 = 716.43 : x
  2. Step 2: Convert to fraction form
    1,158.78/1,597.45 = 716.43/x
  3. Step 3: Cross multiply
    1,158.78x = 1,597.45 × 716.43
  4. Step 4: Simplify right side
    1,158.78x = 1,144,461.10
  5. Step 5: Solve for x
    x = 1,144,461.10/1,158.78
  6. Step 6: Final answer
    x = 987.64

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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.