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Finding the Fourth Proportional to 1,167.72, 1,751.41 and 474.76

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Solution

The fourth proportional to 1,167.72, 1,751.41 and 474.76 is: 712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.72 : 1,751.41 = 474.76 : x
  2. Step 2: Convert to fraction form
    1,167.72/1,751.41 = 474.76/x
  3. Step 3: Cross multiply
    1,167.72x = 1,751.41 × 474.76
  4. Step 4: Simplify right side
    1,167.72x = 831,499.41
  5. Step 5: Solve for x
    x = 831,499.41/1,167.72
  6. Step 6: Final answer
    x = 712.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.