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Finding the Fourth Proportional to 916.76, 1,368.38 and 843.56

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Solution

The fourth proportional to 916.76, 1,368.38 and 843.56 is: 1,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.76 : 1,368.38 = 843.56 : x
  2. Step 2: Convert to fraction form
    916.76/1,368.38 = 843.56/x
  3. Step 3: Cross multiply
    916.76x = 1,368.38 × 843.56
  4. Step 4: Simplify right side
    916.76x = 1,154,310.63
  5. Step 5: Solve for x
    x = 1,154,310.63/916.76
  6. Step 6: Final answer
    x = 1,259.12

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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.