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Finding the Fourth Proportional to 1,712.73, 2,569.07 and 414.19

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Solution

The fourth proportional to 1,712.73, 2,569.07 and 414.19 is: 621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.73 : 2,569.07 = 414.19 : x
  2. Step 2: Convert to fraction form
    1,712.73/2,569.07 = 414.19/x
  3. Step 3: Cross multiply
    1,712.73x = 2,569.07 × 414.19
  4. Step 4: Simplify right side
    1,712.73x = 1,064,077.72
  5. Step 5: Solve for x
    x = 1,064,077.72/1,712.73
  6. Step 6: Final answer
    x = 621.28

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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.