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Finding the Fourth Proportional to 1,024.94, 1,535.82 and 677.90

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Solution

The fourth proportional to 1,024.94, 1,535.82 and 677.90 is: 1,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.94 : 1,535.82 = 677.90 : x
  2. Step 2: Convert to fraction form
    1,024.94/1,535.82 = 677.90/x
  3. Step 3: Cross multiply
    1,024.94x = 1,535.82 × 677.90
  4. Step 4: Simplify right side
    1,024.94x = 1,041,132.38
  5. Step 5: Solve for x
    x = 1,041,132.38/1,024.94
  6. Step 6: Final answer
    x = 1,015.80

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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.