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Finding the Fourth Proportional to 680.60, 1,019.88 and 578.12

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Solution

The fourth proportional to 680.60, 1,019.88 and 578.12 is: 866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.60 : 1,019.88 = 578.12 : x
  2. Step 2: Convert to fraction form
    680.60/1,019.88 = 578.12/x
  3. Step 3: Cross multiply
    680.60x = 1,019.88 × 578.12
  4. Step 4: Simplify right side
    680.60x = 589,613.03
  5. Step 5: Solve for x
    x = 589,613.03/680.60
  6. Step 6: Final answer
    x = 866.31

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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.