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Finding the Fourth Proportional to 916.79, 1,367.67 and 891.69

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Solution

The fourth proportional to 916.79, 1,367.67 and 891.69 is: 1,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.79 : 1,367.67 = 891.69 : x
  2. Step 2: Convert to fraction form
    916.79/1,367.67 = 891.69/x
  3. Step 3: Cross multiply
    916.79x = 1,367.67 × 891.69
  4. Step 4: Simplify right side
    916.79x = 1,219,533.20
  5. Step 5: Solve for x
    x = 1,219,533.20/916.79
  6. Step 6: Final answer
    x = 1,330.22

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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.