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Finding the Fourth Proportional to 984.65, 1,476.09 and 675.72

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Solution

The fourth proportional to 984.65, 1,476.09 and 675.72 is: 1,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.65 : 1,476.09 = 675.72 : x
  2. Step 2: Convert to fraction form
    984.65/1,476.09 = 675.72/x
  3. Step 3: Cross multiply
    984.65x = 1,476.09 × 675.72
  4. Step 4: Simplify right side
    984.65x = 997,423.53
  5. Step 5: Solve for x
    x = 997,423.53/984.65
  6. Step 6: Final answer
    x = 1,012.98

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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.