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Finding the Fourth Proportional to 984.71, 1,357.71 and 591.59

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Solution

The fourth proportional to 984.71, 1,357.71 and 591.59 is: 815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.71 : 1,357.71 = 591.59 : x
  2. Step 2: Convert to fraction form
    984.71/1,357.71 = 591.59/x
  3. Step 3: Cross multiply
    984.71x = 1,357.71 × 591.59
  4. Step 4: Simplify right side
    984.71x = 803,207.66
  5. Step 5: Solve for x
    x = 803,207.66/984.71
  6. Step 6: Final answer
    x = 815.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.