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Finding the Fourth Proportional to 780.17, 1,169.24 and 317.41

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Solution

The fourth proportional to 780.17, 1,169.24 and 317.41 is: 475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.17 : 1,169.24 = 317.41 : x
  2. Step 2: Convert to fraction form
    780.17/1,169.24 = 317.41/x
  3. Step 3: Cross multiply
    780.17x = 1,169.24 × 317.41
  4. Step 4: Simplify right side
    780.17x = 371,128.47
  5. Step 5: Solve for x
    x = 371,128.47/780.17
  6. Step 6: Final answer
    x = 475.70

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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.