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Finding the Fourth Proportional to 767.33, 1,153.31 and 508.21

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Solution

The fourth proportional to 767.33, 1,153.31 and 508.21 is: 763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.33 : 1,153.31 = 508.21 : x
  2. Step 2: Convert to fraction form
    767.33/1,153.31 = 508.21/x
  3. Step 3: Cross multiply
    767.33x = 1,153.31 × 508.21
  4. Step 4: Simplify right side
    767.33x = 586,118.25
  5. Step 5: Solve for x
    x = 586,118.25/767.33
  6. Step 6: Final answer
    x = 763.84

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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.