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Finding the Fourth Proportional to 1,707.75, 2,561.58 and 475.11

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Solution

The fourth proportional to 1,707.75, 2,561.58 and 475.11 is: 712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.75 : 2,561.58 = 475.11 : x
  2. Step 2: Convert to fraction form
    1,707.75/2,561.58 = 475.11/x
  3. Step 3: Cross multiply
    1,707.75x = 2,561.58 × 475.11
  4. Step 4: Simplify right side
    1,707.75x = 1,217,032.27
  5. Step 5: Solve for x
    x = 1,217,032.27/1,707.75
  6. Step 6: Final answer
    x = 712.65

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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.