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Finding the Fourth Proportional to 1,359.04, 2,037.62 and 493.24

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Solution

The fourth proportional to 1,359.04, 2,037.62 and 493.24 is: 739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.04 : 2,037.62 = 493.24 : x
  2. Step 2: Convert to fraction form
    1,359.04/2,037.62 = 493.24/x
  3. Step 3: Cross multiply
    1,359.04x = 2,037.62 × 493.24
  4. Step 4: Simplify right side
    1,359.04x = 1,005,035.69
  5. Step 5: Solve for x
    x = 1,005,035.69/1,359.04
  6. Step 6: Final answer
    x = 739.52

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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.