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Finding the Fourth Proportional to 1,126.14, 1,685.74 and 960.06

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Solution

The fourth proportional to 1,126.14, 1,685.74 and 960.06 is: 1,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.14 : 1,685.74 = 960.06 : x
  2. Step 2: Convert to fraction form
    1,126.14/1,685.74 = 960.06/x
  3. Step 3: Cross multiply
    1,126.14x = 1,685.74 × 960.06
  4. Step 4: Simplify right side
    1,126.14x = 1,618,412.74
  5. Step 5: Solve for x
    x = 1,618,412.74/1,126.14
  6. Step 6: Final answer
    x = 1,437.14

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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.