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Finding the Fourth Proportional to 1,559.34, 2,338.97 and 463.61

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Solution

The fourth proportional to 1,559.34, 2,338.97 and 463.61 is: 695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.34 : 2,338.97 = 463.61 : x
  2. Step 2: Convert to fraction form
    1,559.34/2,338.97 = 463.61/x
  3. Step 3: Cross multiply
    1,559.34x = 2,338.97 × 463.61
  4. Step 4: Simplify right side
    1,559.34x = 1,084,376.89
  5. Step 5: Solve for x
    x = 1,084,376.89/1,559.34
  6. Step 6: Final answer
    x = 695.41

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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.