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Finding the Fourth Proportional to 1,562.27, 2,343.53 and 466.74

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Solution

The fourth proportional to 1,562.27, 2,343.53 and 466.74 is: 700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.27 : 2,343.53 = 466.74 : x
  2. Step 2: Convert to fraction form
    1,562.27/2,343.53 = 466.74/x
  3. Step 3: Cross multiply
    1,562.27x = 2,343.53 × 466.74
  4. Step 4: Simplify right side
    1,562.27x = 1,093,820.36
  5. Step 5: Solve for x
    x = 1,093,820.36/1,562.27
  6. Step 6: Final answer
    x = 700.15

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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.