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Finding the Fourth Proportional to 672.60, 928.62 and 586.20

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Solution

The fourth proportional to 672.60, 928.62 and 586.20 is: 809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.60 : 928.62 = 586.20 : x
  2. Step 2: Convert to fraction form
    672.60/928.62 = 586.20/x
  3. Step 3: Cross multiply
    672.60x = 928.62 × 586.20
  4. Step 4: Simplify right side
    672.60x = 544,357.04
  5. Step 5: Solve for x
    x = 544,357.04/672.60
  6. Step 6: Final answer
    x = 809.33

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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.