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Finding the Fourth Proportional to 1,166.97, 1,749.24 and 473.34

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Solution

The fourth proportional to 1,166.97, 1,749.24 and 473.34 is: 709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.97 : 1,749.24 = 473.34 : x
  2. Step 2: Convert to fraction form
    1,166.97/1,749.24 = 473.34/x
  3. Step 3: Cross multiply
    1,166.97x = 1,749.24 × 473.34
  4. Step 4: Simplify right side
    1,166.97x = 827,985.26
  5. Step 5: Solve for x
    x = 827,985.26/1,166.97
  6. Step 6: Final answer
    x = 709.52

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1.5x scale

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.