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Finding the Fourth Proportional to 1,562.55, 2,343.09 and 466.53

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Solution

The fourth proportional to 1,562.55, 2,343.09 and 466.53 is: 699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.55 : 2,343.09 = 466.53 : x
  2. Step 2: Convert to fraction form
    1,562.55/2,343.09 = 466.53/x
  3. Step 3: Cross multiply
    1,562.55x = 2,343.09 × 466.53
  4. Step 4: Simplify right side
    1,562.55x = 1,093,121.78
  5. Step 5: Solve for x
    x = 1,093,121.78/1,562.55
  6. Step 6: Final answer
    x = 699.58

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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.