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Finding the Fourth Proportional to 1,562.02, 2,342.46 and 466.42

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Solution

The fourth proportional to 1,562.02, 2,342.46 and 466.42 is: 699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.02 : 2,342.46 = 466.42 : x
  2. Step 2: Convert to fraction form
    1,562.02/2,342.46 = 466.42/x
  3. Step 3: Cross multiply
    1,562.02x = 2,342.46 × 466.42
  4. Step 4: Simplify right side
    1,562.02x = 1,092,570.19
  5. Step 5: Solve for x
    x = 1,092,570.19/1,562.02
  6. Step 6: Final answer
    x = 699.46

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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.