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Finding the Fourth Proportional to 849.10, 1,170.78 and 624.02

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Solution

The fourth proportional to 849.10, 1,170.78 and 624.02 is: 860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.10 : 1,170.78 = 624.02 : x
  2. Step 2: Convert to fraction form
    849.10/1,170.78 = 624.02/x
  3. Step 3: Cross multiply
    849.10x = 1,170.78 × 624.02
  4. Step 4: Simplify right side
    849.10x = 730,590.14
  5. Step 5: Solve for x
    x = 730,590.14/849.10
  6. Step 6: Final answer
    x = 860.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.