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Finding the Fourth Proportional to 1,167.80, 1,751.68 and 474.46

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Solution

The fourth proportional to 1,167.80, 1,751.68 and 474.46 is: 711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.80 : 1,751.68 = 474.46 : x
  2. Step 2: Convert to fraction form
    1,167.80/1,751.68 = 474.46/x
  3. Step 3: Cross multiply
    1,167.80x = 1,751.68 × 474.46
  4. Step 4: Simplify right side
    1,167.80x = 831,102.09
  5. Step 5: Solve for x
    x = 831,102.09/1,167.80
  6. Step 6: Final answer
    x = 711.68

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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.