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Finding the Fourth Proportional to 1,039.77, 1,560.26 and 821.07

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Solution

The fourth proportional to 1,039.77, 1,560.26 and 821.07 is: 1,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.77 : 1,560.26 = 821.07 : x
  2. Step 2: Convert to fraction form
    1,039.77/1,560.26 = 821.07/x
  3. Step 3: Cross multiply
    1,039.77x = 1,560.26 × 821.07
  4. Step 4: Simplify right side
    1,039.77x = 1,281,084.73
  5. Step 5: Solve for x
    x = 1,281,084.73/1,039.77
  6. Step 6: Final answer
    x = 1,232.08

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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.