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Finding the Fourth Proportional to 1,040.88, 1,561.86 and 463.62

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Solution

The fourth proportional to 1,040.88, 1,561.86 and 463.62 is: 695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.88 : 1,561.86 = 463.62 : x
  2. Step 2: Convert to fraction form
    1,040.88/1,561.86 = 463.62/x
  3. Step 3: Cross multiply
    1,040.88x = 1,561.86 × 463.62
  4. Step 4: Simplify right side
    1,040.88x = 724,109.53
  5. Step 5: Solve for x
    x = 724,109.53/1,040.88
  6. Step 6: Final answer
    x = 695.67

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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.