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Finding the Fourth Proportional to 1,562.45, 2,344.15 and 466.85

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Solution

The fourth proportional to 1,562.45, 2,344.15 and 466.85 is: 700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.45 : 2,344.15 = 466.85 : x
  2. Step 2: Convert to fraction form
    1,562.45/2,344.15 = 466.85/x
  3. Step 3: Cross multiply
    1,562.45x = 2,344.15 × 466.85
  4. Step 4: Simplify right side
    1,562.45x = 1,094,364.09
  5. Step 5: Solve for x
    x = 1,094,364.09/1,562.45
  6. Step 6: Final answer
    x = 700.42

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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.