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Finding the Fourth Proportional to 813.14, 1,219.35 and 584.18

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Solution

The fourth proportional to 813.14, 1,219.35 and 584.18 is: 876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.14 : 1,219.35 = 584.18 : x
  2. Step 2: Convert to fraction form
    813.14/1,219.35 = 584.18/x
  3. Step 3: Cross multiply
    813.14x = 1,219.35 × 584.18
  4. Step 4: Simplify right side
    813.14x = 712,319.88
  5. Step 5: Solve for x
    x = 712,319.88/813.14
  6. Step 6: Final answer
    x = 876.01

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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.