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Finding the Fourth Proportional to 1,034.32, 1,427.29 and 614.65

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Solution

The fourth proportional to 1,034.32, 1,427.29 and 614.65 is: 848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.32 : 1,427.29 = 614.65 : x
  2. Step 2: Convert to fraction form
    1,034.32/1,427.29 = 614.65/x
  3. Step 3: Cross multiply
    1,034.32x = 1,427.29 × 614.65
  4. Step 4: Simplify right side
    1,034.32x = 877,283.80
  5. Step 5: Solve for x
    x = 877,283.80/1,034.32
  6. Step 6: Final answer
    x = 848.17

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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.