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Finding the Fourth Proportional to 691.56, 1,036.08 and 460.08

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Solution

The fourth proportional to 691.56, 1,036.08 and 460.08 is: 689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.56 : 1,036.08 = 460.08 : x
  2. Step 2: Convert to fraction form
    691.56/1,036.08 = 460.08/x
  3. Step 3: Cross multiply
    691.56x = 1,036.08 × 460.08
  4. Step 4: Simplify right side
    691.56x = 476,679.69
  5. Step 5: Solve for x
    x = 476,679.69/691.56
  6. Step 6: Final answer
    x = 689.28

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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.