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Finding the Fourth Proportional to 1,039.55, 1,560.06 and 766.35

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Solution

The fourth proportional to 1,039.55, 1,560.06 and 766.35 is: 1,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.55 : 1,560.06 = 766.35 : x
  2. Step 2: Convert to fraction form
    1,039.55/1,560.06 = 766.35/x
  3. Step 3: Cross multiply
    1,039.55x = 1,560.06 × 766.35
  4. Step 4: Simplify right side
    1,039.55x = 1,195,551.98
  5. Step 5: Solve for x
    x = 1,195,551.98/1,039.55
  6. Step 6: Final answer
    x = 1,150.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.