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Finding the Fourth Proportional to 1,765.80, 2,646.54 and 790.56

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Solution

The fourth proportional to 1,765.80, 2,646.54 and 790.56 is: 1,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.80 : 2,646.54 = 790.56 : x
  2. Step 2: Convert to fraction form
    1,765.80/2,646.54 = 790.56/x
  3. Step 3: Cross multiply
    1,765.80x = 2,646.54 × 790.56
  4. Step 4: Simplify right side
    1,765.80x = 2,092,248.66
  5. Step 5: Solve for x
    x = 2,092,248.66/1,765.80
  6. Step 6: Final answer
    x = 1,184.87

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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.