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Finding the Fourth Proportional to 736.16, 1,098.17 and 683.76

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Solution

The fourth proportional to 736.16, 1,098.17 and 683.76 is: 1,020.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.16 : 1,098.17 = 683.76 : x
  2. Step 2: Convert to fraction form
    736.16/1,098.17 = 683.76/x
  3. Step 3: Cross multiply
    736.16x = 1,098.17 × 683.76
  4. Step 4: Simplify right side
    736.16x = 750,884.72
  5. Step 5: Solve for x
    x = 750,884.72/736.16
  6. Step 6: Final answer
    x = 1,020.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.