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Finding the Fourth Proportional to 781.97, 1,173.47 and 417.02

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Solution

The fourth proportional to 781.97, 1,173.47 and 417.02 is: 625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.97 : 1,173.47 = 417.02 : x
  2. Step 2: Convert to fraction form
    781.97/1,173.47 = 417.02/x
  3. Step 3: Cross multiply
    781.97x = 1,173.47 × 417.02
  4. Step 4: Simplify right side
    781.97x = 489,360.46
  5. Step 5: Solve for x
    x = 489,360.46/781.97
  6. Step 6: Final answer
    x = 625.80

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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.