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Finding the Fourth Proportional to 982.04, 1,472.70 and 288.53

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Solution

The fourth proportional to 982.04, 1,472.70 and 288.53 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.04 : 1,472.70 = 288.53 : x
  2. Step 2: Convert to fraction form
    982.04/1,472.70 = 288.53/x
  3. Step 3: Cross multiply
    982.04x = 1,472.70 × 288.53
  4. Step 4: Simplify right side
    982.04x = 424,918.13
  5. Step 5: Solve for x
    x = 424,918.13/982.04
  6. Step 6: Final answer
    x = 432.69

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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.