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Finding the Fourth Proportional to 847.77, 1,169.31 and 549.01

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Solution

The fourth proportional to 847.77, 1,169.31 and 549.01 is: 757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.77 : 1,169.31 = 549.01 : x
  2. Step 2: Convert to fraction form
    847.77/1,169.31 = 549.01/x
  3. Step 3: Cross multiply
    847.77x = 1,169.31 × 549.01
  4. Step 4: Simplify right side
    847.77x = 641,962.88
  5. Step 5: Solve for x
    x = 641,962.88/847.77
  6. Step 6: Final answer
    x = 757.24

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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.