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Finding the Fourth Proportional to 1,306.77, 1,803.32 and 747.27

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Solution

The fourth proportional to 1,306.77, 1,803.32 and 747.27 is: 1,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.77 : 1,803.32 = 747.27 : x
  2. Step 2: Convert to fraction form
    1,306.77/1,803.32 = 747.27/x
  3. Step 3: Cross multiply
    1,306.77x = 1,803.32 × 747.27
  4. Step 4: Simplify right side
    1,306.77x = 1,347,563.20
  5. Step 5: Solve for x
    x = 1,347,563.20/1,306.77
  6. Step 6: Final answer
    x = 1,031.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.