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Finding the Fourth Proportional to 762.02, 1,144.86 and 488.65

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Solution

The fourth proportional to 762.02, 1,144.86 and 488.65 is: 734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.02 : 1,144.86 = 488.65 : x
  2. Step 2: Convert to fraction form
    762.02/1,144.86 = 488.65/x
  3. Step 3: Cross multiply
    762.02x = 1,144.86 × 488.65
  4. Step 4: Simplify right side
    762.02x = 559,432.98
  5. Step 5: Solve for x
    x = 559,432.98/762.02
  6. Step 6: Final answer
    x = 734.14

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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.