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Finding the Fourth Proportional to 587.60, 880.65 and 514.29

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Solution

The fourth proportional to 587.60, 880.65 and 514.29 is: 770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.60 : 880.65 = 514.29 : x
  2. Step 2: Convert to fraction form
    587.60/880.65 = 514.29/x
  3. Step 3: Cross multiply
    587.60x = 880.65 × 514.29
  4. Step 4: Simplify right side
    587.60x = 452,909.49
  5. Step 5: Solve for x
    x = 452,909.49/587.60
  6. Step 6: Final answer
    x = 770.79

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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.