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Finding the Fourth Proportional to 1,182.90, 1,770.71 and 771.15

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Solution

The fourth proportional to 1,182.90, 1,770.71 and 771.15 is: 1,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.90 : 1,770.71 = 771.15 : x
  2. Step 2: Convert to fraction form
    1,182.90/1,770.71 = 771.15/x
  3. Step 3: Cross multiply
    1,182.90x = 1,770.71 × 771.15
  4. Step 4: Simplify right side
    1,182.90x = 1,365,483.02
  5. Step 5: Solve for x
    x = 1,365,483.02/1,182.90
  6. Step 6: Final answer
    x = 1,154.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.