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Finding the Fourth Proportional to 1,347.32, 2,017.76 and 687.57

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Solution

The fourth proportional to 1,347.32, 2,017.76 and 687.57 is: 1,029.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.32 : 2,017.76 = 687.57 : x
  2. Step 2: Convert to fraction form
    1,347.32/2,017.76 = 687.57/x
  3. Step 3: Cross multiply
    1,347.32x = 2,017.76 × 687.57
  4. Step 4: Simplify right side
    1,347.32x = 1,387,351.24
  5. Step 5: Solve for x
    x = 1,387,351.24/1,347.32
  6. Step 6: Final answer
    x = 1,029.72

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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.