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Finding the Fourth Proportional to 813.84, 1,113.20 and 801.15

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Solution

The fourth proportional to 813.84, 1,113.20 and 801.15 is: 1,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.84 : 1,113.20 = 801.15 : x
  2. Step 2: Convert to fraction form
    813.84/1,113.20 = 801.15/x
  3. Step 3: Cross multiply
    813.84x = 1,113.20 × 801.15
  4. Step 4: Simplify right side
    813.84x = 891,836.17
  5. Step 5: Solve for x
    x = 891,836.17/813.84
  6. Step 6: Final answer
    x = 1,095.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.