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Finding the Fourth Proportional to 948.59, 1,308.41 and 824.03

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Solution

The fourth proportional to 948.59, 1,308.41 and 824.03 is: 1,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.59 : 1,308.41 = 824.03 : x
  2. Step 2: Convert to fraction form
    948.59/1,308.41 = 824.03/x
  3. Step 3: Cross multiply
    948.59x = 1,308.41 × 824.03
  4. Step 4: Simplify right side
    948.59x = 1,078,161.70
  5. Step 5: Solve for x
    x = 1,078,161.70/948.59
  6. Step 6: Final answer
    x = 1,136.60

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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.