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Finding the Fourth Proportional to 1,460.90, 2,189.43 and 691.62

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Solution

The fourth proportional to 1,460.90, 2,189.43 and 691.62 is: 1,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.90 : 2,189.43 = 691.62 : x
  2. Step 2: Convert to fraction form
    1,460.90/2,189.43 = 691.62/x
  3. Step 3: Cross multiply
    1,460.90x = 2,189.43 × 691.62
  4. Step 4: Simplify right side
    1,460.90x = 1,514,253.58
  5. Step 5: Solve for x
    x = 1,514,253.58/1,460.90
  6. Step 6: Final answer
    x = 1,036.52

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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.