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Finding the Fourth Proportional to 1,158.14, 1,597.84 and 710.24

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Solution

The fourth proportional to 1,158.14, 1,597.84 and 710.24 is: 979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.14 : 1,597.84 = 710.24 : x
  2. Step 2: Convert to fraction form
    1,158.14/1,597.84 = 710.24/x
  3. Step 3: Cross multiply
    1,158.14x = 1,597.84 × 710.24
  4. Step 4: Simplify right side
    1,158.14x = 1,134,840.12
  5. Step 5: Solve for x
    x = 1,134,840.12/1,158.14
  6. Step 6: Final answer
    x = 979.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.