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Finding the Fourth Proportional to 817.57, 1,223.58 and 493.17

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Solution

The fourth proportional to 817.57, 1,223.58 and 493.17 is: 738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.57 : 1,223.58 = 493.17 : x
  2. Step 2: Convert to fraction form
    817.57/1,223.58 = 493.17/x
  3. Step 3: Cross multiply
    817.57x = 1,223.58 × 493.17
  4. Step 4: Simplify right side
    817.57x = 603,432.95
  5. Step 5: Solve for x
    x = 603,432.95/817.57
  6. Step 6: Final answer
    x = 738.08

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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.