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Finding the Fourth Proportional to 1,023.64, 1,535.45 and 676.90

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Solution

The fourth proportional to 1,023.64, 1,535.45 and 676.90 is: 1,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.64 : 1,535.45 = 676.90 : x
  2. Step 2: Convert to fraction form
    1,023.64/1,535.45 = 676.90/x
  3. Step 3: Cross multiply
    1,023.64x = 1,535.45 × 676.90
  4. Step 4: Simplify right side
    1,023.64x = 1,039,346.11
  5. Step 5: Solve for x
    x = 1,039,346.11/1,023.64
  6. Step 6: Final answer
    x = 1,015.34

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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.