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Finding the Fourth Proportional to 743.31, 1,108.76 and 692.28

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Solution

The fourth proportional to 743.31, 1,108.76 and 692.28 is: 1,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.31 : 1,108.76 = 692.28 : x
  2. Step 2: Convert to fraction form
    743.31/1,108.76 = 692.28/x
  3. Step 3: Cross multiply
    743.31x = 1,108.76 × 692.28
  4. Step 4: Simplify right side
    743.31x = 767,568.91
  5. Step 5: Solve for x
    x = 767,568.91/743.31
  6. Step 6: Final answer
    x = 1,032.64

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Why These Related Problems?

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