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Finding the Fourth Proportional to 981.33, 1,471.53 and 570.59

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Solution

The fourth proportional to 981.33, 1,471.53 and 570.59 is: 855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.33 : 1,471.53 = 570.59 : x
  2. Step 2: Convert to fraction form
    981.33/1,471.53 = 570.59/x
  3. Step 3: Cross multiply
    981.33x = 1,471.53 × 570.59
  4. Step 4: Simplify right side
    981.33x = 839,632.95
  5. Step 5: Solve for x
    x = 839,632.95/981.33
  6. Step 6: Final answer
    x = 855.61

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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.