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Finding the Fourth Proportional to 1,164.32, 1,746.56 and 677.20

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Solution

The fourth proportional to 1,164.32, 1,746.56 and 677.20 is: 1,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.32 : 1,746.56 = 677.20 : x
  2. Step 2: Convert to fraction form
    1,164.32/1,746.56 = 677.20/x
  3. Step 3: Cross multiply
    1,164.32x = 1,746.56 × 677.20
  4. Step 4: Simplify right side
    1,164.32x = 1,182,770.43
  5. Step 5: Solve for x
    x = 1,182,770.43/1,164.32
  6. Step 6: Final answer
    x = 1,015.85

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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.