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Finding the Fourth Proportional to 753.02, 1,120.07 and 691.06

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Solution

The fourth proportional to 753.02, 1,120.07 and 691.06 is: 1,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.02 : 1,120.07 = 691.06 : x
  2. Step 2: Convert to fraction form
    753.02/1,120.07 = 691.06/x
  3. Step 3: Cross multiply
    753.02x = 1,120.07 × 691.06
  4. Step 4: Simplify right side
    753.02x = 774,026.52
  5. Step 5: Solve for x
    x = 774,026.52/753.02
  6. Step 6: Final answer
    x = 1,027.90

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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.