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Finding the Fourth Proportional to 1,034.33, 1,427.28 and 586.22

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Solution

The fourth proportional to 1,034.33, 1,427.28 and 586.22 is: 808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.33 : 1,427.28 = 586.22 : x
  2. Step 2: Convert to fraction form
    1,034.33/1,427.28 = 586.22/x
  3. Step 3: Cross multiply
    1,034.33x = 1,427.28 × 586.22
  4. Step 4: Simplify right side
    1,034.33x = 836,703.65
  5. Step 5: Solve for x
    x = 836,703.65/1,034.33
  6. Step 6: Final answer
    x = 808.93

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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.