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Finding the Fourth Proportional to 1,132.14, 1,696.79 and 782.69

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Solution

The fourth proportional to 1,132.14, 1,696.79 and 782.69 is: 1,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.14 : 1,696.79 = 782.69 : x
  2. Step 2: Convert to fraction form
    1,132.14/1,696.79 = 782.69/x
  3. Step 3: Cross multiply
    1,132.14x = 1,696.79 × 782.69
  4. Step 4: Simplify right side
    1,132.14x = 1,328,048.17
  5. Step 5: Solve for x
    x = 1,328,048.17/1,132.14
  6. Step 6: Final answer
    x = 1,173.04

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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.