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Finding the Fourth Proportional to 1,126.07, 1,686.76 and 952.13

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Solution

The fourth proportional to 1,126.07, 1,686.76 and 952.13 is: 1,426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.07 : 1,686.76 = 952.13 : x
  2. Step 2: Convert to fraction form
    1,126.07/1,686.76 = 952.13/x
  3. Step 3: Cross multiply
    1,126.07x = 1,686.76 × 952.13
  4. Step 4: Simplify right side
    1,126.07x = 1,606,014.80
  5. Step 5: Solve for x
    x = 1,606,014.80/1,126.07
  6. Step 6: Final answer
    x = 1,426.21

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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.