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Finding the Fourth Proportional to 778.64, 1,166.33 and 368.10

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Solution

The fourth proportional to 778.64, 1,166.33 and 368.10 is: 551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.64 : 1,166.33 = 368.10 : x
  2. Step 2: Convert to fraction form
    778.64/1,166.33 = 368.10/x
  3. Step 3: Cross multiply
    778.64x = 1,166.33 × 368.10
  4. Step 4: Simplify right side
    778.64x = 429,326.99
  5. Step 5: Solve for x
    x = 429,326.99/778.64
  6. Step 6: Final answer
    x = 551.38

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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.