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Finding the Fourth Proportional to 1,686.75, 2,530.31 and 454.14

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Solution

The fourth proportional to 1,686.75, 2,530.31 and 454.14 is: 681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.75 : 2,530.31 = 454.14 : x
  2. Step 2: Convert to fraction form
    1,686.75/2,530.31 = 454.14/x
  3. Step 3: Cross multiply
    1,686.75x = 2,530.31 × 454.14
  4. Step 4: Simplify right side
    1,686.75x = 1,149,112.71
  5. Step 5: Solve for x
    x = 1,149,112.71/1,686.75
  6. Step 6: Final answer
    x = 681.26

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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.