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Finding the Fourth Proportional to 1,272.50, 1,909.30 and 686.82

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Solution

The fourth proportional to 1,272.50, 1,909.30 and 686.82 is: 1,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.50 : 1,909.30 = 686.82 : x
  2. Step 2: Convert to fraction form
    1,272.50/1,909.30 = 686.82/x
  3. Step 3: Cross multiply
    1,272.50x = 1,909.30 × 686.82
  4. Step 4: Simplify right side
    1,272.50x = 1,311,345.43
  5. Step 5: Solve for x
    x = 1,311,345.43/1,272.50
  6. Step 6: Final answer
    x = 1,030.53

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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.