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Finding the Fourth Proportional to 1,302.75, 1,954.64 and 686.14

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Solution

The fourth proportional to 1,302.75, 1,954.64 and 686.14 is: 1,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.75 : 1,954.64 = 686.14 : x
  2. Step 2: Convert to fraction form
    1,302.75/1,954.64 = 686.14/x
  3. Step 3: Cross multiply
    1,302.75x = 1,954.64 × 686.14
  4. Step 4: Simplify right side
    1,302.75x = 1,341,153.52
  5. Step 5: Solve for x
    x = 1,341,153.52/1,302.75
  6. Step 6: Final answer
    x = 1,029.48

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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.