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Finding the Fourth Proportional to 880.60, 1,319.26 and 514.32

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Solution

The fourth proportional to 880.60, 1,319.26 and 514.32 is: 770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.60 : 1,319.26 = 514.32 : x
  2. Step 2: Convert to fraction form
    880.60/1,319.26 = 514.32/x
  3. Step 3: Cross multiply
    880.60x = 1,319.26 × 514.32
  4. Step 4: Simplify right side
    880.60x = 678,521.80
  5. Step 5: Solve for x
    x = 678,521.80/880.60
  6. Step 6: Final answer
    x = 770.52

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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.