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Finding the Fourth Proportional to 948.96, 1,423.44 and 811.53

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Solution

The fourth proportional to 948.96, 1,423.44 and 811.53 is: 1,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.96 : 1,423.44 = 811.53 : x
  2. Step 2: Convert to fraction form
    948.96/1,423.44 = 811.53/x
  3. Step 3: Cross multiply
    948.96x = 1,423.44 × 811.53
  4. Step 4: Simplify right side
    948.96x = 1,155,164.26
  5. Step 5: Solve for x
    x = 1,155,164.26/948.96
  6. Step 6: Final answer
    x = 1,217.30

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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.