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Finding the Fourth Proportional to 1,707.42, 2,561.13 and 474.84

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Solution

The fourth proportional to 1,707.42, 2,561.13 and 474.84 is: 712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.42 : 2,561.13 = 474.84 : x
  2. Step 2: Convert to fraction form
    1,707.42/2,561.13 = 474.84/x
  3. Step 3: Cross multiply
    1,707.42x = 2,561.13 × 474.84
  4. Step 4: Simplify right side
    1,707.42x = 1,216,126.97
  5. Step 5: Solve for x
    x = 1,216,126.97/1,707.42
  6. Step 6: Final answer
    x = 712.26

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