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Finding the Fourth Proportional to 1,533, 2,299.78 and 493.16

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Solution

The fourth proportional to 1,533, 2,299.78 and 493.16 is: 739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533 : 2,299.78 = 493.16 : x
  2. Step 2: Convert to fraction form
    1,533/2,299.78 = 493.16/x
  3. Step 3: Cross multiply
    1,533x = 2,299.78 × 493.16
  4. Step 4: Simplify right side
    1,533x = 1,134,159.50
  5. Step 5: Solve for x
    x = 1,134,159.50/1,533
  6. Step 6: Final answer
    x = 739.83

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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.