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Finding the Fourth Proportional to 1,532.67, 2,298.67 and 492.75

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Solution

The fourth proportional to 1,532.67, 2,298.67 and 492.75 is: 739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.67 : 2,298.67 = 492.75 : x
  2. Step 2: Convert to fraction form
    1,532.67/2,298.67 = 492.75/x
  3. Step 3: Cross multiply
    1,532.67x = 2,298.67 × 492.75
  4. Step 4: Simplify right side
    1,532.67x = 1,132,669.64
  5. Step 5: Solve for x
    x = 1,132,669.64/1,532.67
  6. Step 6: Final answer
    x = 739.02

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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.