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Finding the Fourth Proportional to 1,152.90, 1,728.07 and 691.30

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Solution

The fourth proportional to 1,152.90, 1,728.07 and 691.30 is: 1,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.90 : 1,728.07 = 691.30 : x
  2. Step 2: Convert to fraction form
    1,152.90/1,728.07 = 691.30/x
  3. Step 3: Cross multiply
    1,152.90x = 1,728.07 × 691.30
  4. Step 4: Simplify right side
    1,152.90x = 1,194,614.79
  5. Step 5: Solve for x
    x = 1,194,614.79/1,152.90
  6. Step 6: Final answer
    x = 1,036.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.