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Finding the Fourth Proportional to 1,157.20, 1,597.68 and 1,032.65

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Solution

The fourth proportional to 1,157.20, 1,597.68 and 1,032.65 is: 1,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.20 : 1,597.68 = 1,032.65 : x
  2. Step 2: Convert to fraction form
    1,157.20/1,597.68 = 1,032.65/x
  3. Step 3: Cross multiply
    1,157.20x = 1,597.68 × 1,032.65
  4. Step 4: Simplify right side
    1,157.20x = 1,649,845.11
  5. Step 5: Solve for x
    x = 1,649,845.11/1,157.20
  6. Step 6: Final answer
    x = 1,425.72

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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.