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Finding the Fourth Proportional to 1,562.21, 2,343.55 and 466.45

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Solution

The fourth proportional to 1,562.21, 2,343.55 and 466.45 is: 699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.21 : 2,343.55 = 466.45 : x
  2. Step 2: Convert to fraction form
    1,562.21/2,343.55 = 466.45/x
  3. Step 3: Cross multiply
    1,562.21x = 2,343.55 × 466.45
  4. Step 4: Simplify right side
    1,562.21x = 1,093,148.90
  5. Step 5: Solve for x
    x = 1,093,148.90/1,562.21
  6. Step 6: Final answer
    x = 699.75

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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.