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Finding the Fourth Proportional to 982.87, 1,357.45 and 652.75

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Solution

The fourth proportional to 982.87, 1,357.45 and 652.75 is: 901.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.87 : 1,357.45 = 652.75 : x
  2. Step 2: Convert to fraction form
    982.87/1,357.45 = 652.75/x
  3. Step 3: Cross multiply
    982.87x = 1,357.45 × 652.75
  4. Step 4: Simplify right side
    982.87x = 886,070.46
  5. Step 5: Solve for x
    x = 886,070.46/982.87
  6. Step 6: Final answer
    x = 901.52

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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.