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Finding the Fourth Proportional to 1,463.24, 2,193.84 and 538.68

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Solution

The fourth proportional to 1,463.24, 2,193.84 and 538.68 is: 807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.24 : 2,193.84 = 538.68 : x
  2. Step 2: Convert to fraction form
    1,463.24/2,193.84 = 538.68/x
  3. Step 3: Cross multiply
    1,463.24x = 2,193.84 × 538.68
  4. Step 4: Simplify right side
    1,463.24x = 1,181,775.71
  5. Step 5: Solve for x
    x = 1,181,775.71/1,463.24
  6. Step 6: Final answer
    x = 807.64

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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.