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Finding the Fourth Proportional to 1,040.20, 1,560.36 and 463.08

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Solution

The fourth proportional to 1,040.20, 1,560.36 and 463.08 is: 694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.20 : 1,560.36 = 463.08 : x
  2. Step 2: Convert to fraction form
    1,040.20/1,560.36 = 463.08/x
  3. Step 3: Cross multiply
    1,040.20x = 1,560.36 × 463.08
  4. Step 4: Simplify right side
    1,040.20x = 722,571.51
  5. Step 5: Solve for x
    x = 722,571.51/1,040.20
  6. Step 6: Final answer
    x = 694.65

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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.