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Finding the Fourth Proportional to 988.26, 1,482.57 and 784.14

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Solution

The fourth proportional to 988.26, 1,482.57 and 784.14 is: 1,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.26 : 1,482.57 = 784.14 : x
  2. Step 2: Convert to fraction form
    988.26/1,482.57 = 784.14/x
  3. Step 3: Cross multiply
    988.26x = 1,482.57 × 784.14
  4. Step 4: Simplify right side
    988.26x = 1,162,542.44
  5. Step 5: Solve for x
    x = 1,162,542.44/988.26
  6. Step 6: Final answer
    x = 1,176.35

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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.