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Finding the Fourth Proportional to 982.71, 1,474.43 and 592.99

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Solution

The fourth proportional to 982.71, 1,474.43 and 592.99 is: 889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.71 : 1,474.43 = 592.99 : x
  2. Step 2: Convert to fraction form
    982.71/1,474.43 = 592.99/x
  3. Step 3: Cross multiply
    982.71x = 1,474.43 × 592.99
  4. Step 4: Simplify right side
    982.71x = 874,315.59
  5. Step 5: Solve for x
    x = 874,315.59/982.71
  6. Step 6: Final answer
    x = 889.70

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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.