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Finding the Fourth Proportional to 1,707.21, 2,560.86 and 474.66

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Solution

The fourth proportional to 1,707.21, 2,560.86 and 474.66 is: 712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.21 : 2,560.86 = 474.66 : x
  2. Step 2: Convert to fraction form
    1,707.21/2,560.86 = 474.66/x
  3. Step 3: Cross multiply
    1,707.21x = 2,560.86 × 474.66
  4. Step 4: Simplify right side
    1,707.21x = 1,215,537.81
  5. Step 5: Solve for x
    x = 1,215,537.81/1,707.21
  6. Step 6: Final answer
    x = 712.00

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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.