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Finding the Fourth Proportional to 711.46, 1,065.75 and 345.97

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Solution

The fourth proportional to 711.46, 1,065.75 and 345.97 is: 518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.46 : 1,065.75 = 345.97 : x
  2. Step 2: Convert to fraction form
    711.46/1,065.75 = 345.97/x
  3. Step 3: Cross multiply
    711.46x = 1,065.75 × 345.97
  4. Step 4: Simplify right side
    711.46x = 368,717.53
  5. Step 5: Solve for x
    x = 368,717.53/711.46
  6. Step 6: Final answer
    x = 518.25

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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.