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Finding the Fourth Proportional to 1,560.41, 2,340.61 and 464.78

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Solution

The fourth proportional to 1,560.41, 2,340.61 and 464.78 is: 697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.41 : 2,340.61 = 464.78 : x
  2. Step 2: Convert to fraction form
    1,560.41/2,340.61 = 464.78/x
  3. Step 3: Cross multiply
    1,560.41x = 2,340.61 × 464.78
  4. Step 4: Simplify right side
    1,560.41x = 1,087,868.72
  5. Step 5: Solve for x
    x = 1,087,868.72/1,560.41
  6. Step 6: Final answer
    x = 697.17

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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.