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Finding the Fourth Proportional to 817.35, 1,127.78 and 468.15

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Solution

The fourth proportional to 817.35, 1,127.78 and 468.15 is: 645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.35 : 1,127.78 = 468.15 : x
  2. Step 2: Convert to fraction form
    817.35/1,127.78 = 468.15/x
  3. Step 3: Cross multiply
    817.35x = 1,127.78 × 468.15
  4. Step 4: Simplify right side
    817.35x = 527,967.87
  5. Step 5: Solve for x
    x = 527,967.87/817.35
  6. Step 6: Final answer
    x = 645.95

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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.