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Finding the Fourth Proportional to 1,132.68, 1,696.14 and 1,008.84

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Solution

The fourth proportional to 1,132.68, 1,696.14 and 1,008.84 is: 1,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.68 : 1,696.14 = 1,008.84 : x
  2. Step 2: Convert to fraction form
    1,132.68/1,696.14 = 1,008.84/x
  3. Step 3: Cross multiply
    1,132.68x = 1,696.14 × 1,008.84
  4. Step 4: Simplify right side
    1,132.68x = 1,711,133.88
  5. Step 5: Solve for x
    x = 1,711,133.88/1,132.68
  6. Step 6: Final answer
    x = 1,510.69

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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.