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Finding the Fourth Proportional to 1,569.74, 2,355.15 and 691.97

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Solution

The fourth proportional to 1,569.74, 2,355.15 and 691.97 is: 1,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.74 : 2,355.15 = 691.97 : x
  2. Step 2: Convert to fraction form
    1,569.74/2,355.15 = 691.97/x
  3. Step 3: Cross multiply
    1,569.74x = 2,355.15 × 691.97
  4. Step 4: Simplify right side
    1,569.74x = 1,629,693.15
  5. Step 5: Solve for x
    x = 1,629,693.15/1,569.74
  6. Step 6: Final answer
    x = 1,038.19

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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.