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Finding the Fourth Proportional to 1,119.90, 1,677.24 and 771.96

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Solution

The fourth proportional to 1,119.90, 1,677.24 and 771.96 is: 1,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.90 : 1,677.24 = 771.96 : x
  2. Step 2: Convert to fraction form
    1,119.90/1,677.24 = 771.96/x
  3. Step 3: Cross multiply
    1,119.90x = 1,677.24 × 771.96
  4. Step 4: Simplify right side
    1,119.90x = 1,294,762.19
  5. Step 5: Solve for x
    x = 1,294,762.19/1,119.90
  6. Step 6: Final answer
    x = 1,156.14

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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.