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Finding the Fourth Proportional to 788.42, 1,182.53 and 677.70

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Solution

The fourth proportional to 788.42, 1,182.53 and 677.70 is: 1,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.42 : 1,182.53 = 677.70 : x
  2. Step 2: Convert to fraction form
    788.42/1,182.53 = 677.70/x
  3. Step 3: Cross multiply
    788.42x = 1,182.53 × 677.70
  4. Step 4: Simplify right side
    788.42x = 801,402.28
  5. Step 5: Solve for x
    x = 801,402.28/788.42
  6. Step 6: Final answer
    x = 1,016.46

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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.