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Finding the Fourth Proportional to 1,027.80, 1,417.50 and 766.44

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Solution

The fourth proportional to 1,027.80, 1,417.50 and 766.44 is: 1,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.80 : 1,417.50 = 766.44 : x
  2. Step 2: Convert to fraction form
    1,027.80/1,417.50 = 766.44/x
  3. Step 3: Cross multiply
    1,027.80x = 1,417.50 × 766.44
  4. Step 4: Simplify right side
    1,027.80x = 1,086,428.70
  5. Step 5: Solve for x
    x = 1,086,428.70/1,027.80
  6. Step 6: Final answer
    x = 1,057.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.