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Finding the Fourth Proportional to 1,642.02, 2,463.02 and 532.36

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Solution

The fourth proportional to 1,642.02, 2,463.02 and 532.36 is: 798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.02 : 2,463.02 = 532.36 : x
  2. Step 2: Convert to fraction form
    1,642.02/2,463.02 = 532.36/x
  3. Step 3: Cross multiply
    1,642.02x = 2,463.02 × 532.36
  4. Step 4: Simplify right side
    1,642.02x = 1,311,225.66
  5. Step 5: Solve for x
    x = 1,311,225.66/1,642.02
  6. Step 6: Final answer
    x = 798.54

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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.