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Finding the Fourth Proportional to 1,157.29, 1,597.06 and 659.95

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Solution

The fourth proportional to 1,157.29, 1,597.06 and 659.95 is: 910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.29 : 1,597.06 = 659.95 : x
  2. Step 2: Convert to fraction form
    1,157.29/1,597.06 = 659.95/x
  3. Step 3: Cross multiply
    1,157.29x = 1,597.06 × 659.95
  4. Step 4: Simplify right side
    1,157.29x = 1,053,979.75
  5. Step 5: Solve for x
    x = 1,053,979.75/1,157.29
  6. Step 6: Final answer
    x = 910.73

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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.