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Finding the Fourth Proportional to 767.64, 1,152.54 and 397.80

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Solution

The fourth proportional to 767.64, 1,152.54 and 397.80 is: 597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.64 : 1,152.54 = 397.80 : x
  2. Step 2: Convert to fraction form
    767.64/1,152.54 = 397.80/x
  3. Step 3: Cross multiply
    767.64x = 1,152.54 × 397.80
  4. Step 4: Simplify right side
    767.64x = 458,480.41
  5. Step 5: Solve for x
    x = 458,480.41/767.64
  6. Step 6: Final answer
    x = 597.26

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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.