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Finding the Fourth Proportional to 1,034.34, 1,427.04 and 586.14

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Solution

The fourth proportional to 1,034.34, 1,427.04 and 586.14 is: 808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.34 : 1,427.04 = 586.14 : x
  2. Step 2: Convert to fraction form
    1,034.34/1,427.04 = 586.14/x
  3. Step 3: Cross multiply
    1,034.34x = 1,427.04 × 586.14
  4. Step 4: Simplify right side
    1,034.34x = 836,445.23
  5. Step 5: Solve for x
    x = 836,445.23/1,034.34
  6. Step 6: Final answer
    x = 808.68

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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.