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Finding the Fourth Proportional to 1,533.67, 2,300.17 and 493.75

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Solution

The fourth proportional to 1,533.67, 2,300.17 and 493.75 is: 740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.67 : 2,300.17 = 493.75 : x
  2. Step 2: Convert to fraction form
    1,533.67/2,300.17 = 493.75/x
  3. Step 3: Cross multiply
    1,533.67x = 2,300.17 × 493.75
  4. Step 4: Simplify right side
    1,533.67x = 1,135,708.94
  5. Step 5: Solve for x
    x = 1,135,708.94/1,533.67
  6. Step 6: Final answer
    x = 740.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.