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Finding the Fourth Proportional to 982.65, 1,357.25 and 735.07

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Solution

The fourth proportional to 982.65, 1,357.25 and 735.07 is: 1,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.65 : 1,357.25 = 735.07 : x
  2. Step 2: Convert to fraction form
    982.65/1,357.25 = 735.07/x
  3. Step 3: Cross multiply
    982.65x = 1,357.25 × 735.07
  4. Step 4: Simplify right side
    982.65x = 997,673.76
  5. Step 5: Solve for x
    x = 997,673.76/982.65
  6. Step 6: Final answer
    x = 1,015.29

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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.