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Finding the Fourth Proportional to 1,080.69, 1,491.42 and 614.94

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Solution

The fourth proportional to 1,080.69, 1,491.42 and 614.94 is: 848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.69 : 1,491.42 = 614.94 : x
  2. Step 2: Convert to fraction form
    1,080.69/1,491.42 = 614.94/x
  3. Step 3: Cross multiply
    1,080.69x = 1,491.42 × 614.94
  4. Step 4: Simplify right side
    1,080.69x = 917,128.55
  5. Step 5: Solve for x
    x = 917,128.55/1,080.69
  6. Step 6: Final answer
    x = 848.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.