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Finding the Fourth Proportional to 679.14, 1,016.70 and 586.29

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Solution

The fourth proportional to 679.14, 1,016.70 and 586.29 is: 877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.14 : 1,016.70 = 586.29 : x
  2. Step 2: Convert to fraction form
    679.14/1,016.70 = 586.29/x
  3. Step 3: Cross multiply
    679.14x = 1,016.70 × 586.29
  4. Step 4: Simplify right side
    679.14x = 596,081.04
  5. Step 5: Solve for x
    x = 596,081.04/679.14
  6. Step 6: Final answer
    x = 877.70

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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.