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Finding the Fourth Proportional to 916.24, 1,374.37 and 734.79

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Solution

The fourth proportional to 916.24, 1,374.37 and 734.79 is: 1,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.24 : 1,374.37 = 734.79 : x
  2. Step 2: Convert to fraction form
    916.24/1,374.37 = 734.79/x
  3. Step 3: Cross multiply
    916.24x = 1,374.37 × 734.79
  4. Step 4: Simplify right side
    916.24x = 1,009,876.47
  5. Step 5: Solve for x
    x = 1,009,876.47/916.24
  6. Step 6: Final answer
    x = 1,102.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.