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Finding the Fourth Proportional to 849.18, 1,170.82 and 549.93

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Solution

The fourth proportional to 849.18, 1,170.82 and 549.93 is: 758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.18 : 1,170.82 = 549.93 : x
  2. Step 2: Convert to fraction form
    849.18/1,170.82 = 549.93/x
  3. Step 3: Cross multiply
    849.18x = 1,170.82 × 549.93
  4. Step 4: Simplify right side
    849.18x = 643,869.04
  5. Step 5: Solve for x
    x = 643,869.04/849.18
  6. Step 6: Final answer
    x = 758.22

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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.