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Finding the Fourth Proportional to 1,041.73, 1,561.56 and 520.95

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Solution

The fourth proportional to 1,041.73, 1,561.56 and 520.95 is: 780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.73 : 1,561.56 = 520.95 : x
  2. Step 2: Convert to fraction form
    1,041.73/1,561.56 = 520.95/x
  3. Step 3: Cross multiply
    1,041.73x = 1,561.56 × 520.95
  4. Step 4: Simplify right side
    1,041.73x = 813,494.68
  5. Step 5: Solve for x
    x = 813,494.68/1,041.73
  6. Step 6: Final answer
    x = 780.91

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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.