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Finding the Fourth Proportional to 1,562.49, 2,343.78 and 466.83

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Solution

The fourth proportional to 1,562.49, 2,343.78 and 466.83 is: 700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.49 : 2,343.78 = 466.83 : x
  2. Step 2: Convert to fraction form
    1,562.49/2,343.78 = 466.83/x
  3. Step 3: Cross multiply
    1,562.49x = 2,343.78 × 466.83
  4. Step 4: Simplify right side
    1,562.49x = 1,094,146.82
  5. Step 5: Solve for x
    x = 1,094,146.82/1,562.49
  6. Step 6: Final answer
    x = 700.26

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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.