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Finding the Fourth Proportional to 746.66, 1,114.54 and 692.46

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Solution

The fourth proportional to 746.66, 1,114.54 and 692.46 is: 1,033.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.66 : 1,114.54 = 692.46 : x
  2. Step 2: Convert to fraction form
    746.66/1,114.54 = 692.46/x
  3. Step 3: Cross multiply
    746.66x = 1,114.54 × 692.46
  4. Step 4: Simplify right side
    746.66x = 771,772.64
  5. Step 5: Solve for x
    x = 771,772.64/746.66
  6. Step 6: Final answer
    x = 1,033.63

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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.