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Finding the Fourth Proportional to 916.56, 1,384.34 and 916.56

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Solution

The fourth proportional to 916.56, 1,384.34 and 916.56 is: 1,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.56 : 1,384.34 = 916.56 : x
  2. Step 2: Convert to fraction form
    916.56/1,384.34 = 916.56/x
  3. Step 3: Cross multiply
    916.56x = 1,384.34 × 916.56
  4. Step 4: Simplify right side
    916.56x = 1,268,826.09
  5. Step 5: Solve for x
    x = 1,268,826.09/916.56
  6. Step 6: Final answer
    x = 1,384.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.