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Finding the Fourth Proportional to 767.79, 1,152.03 and 416.50

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Solution

The fourth proportional to 767.79, 1,152.03 and 416.50 is: 624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.79 : 1,152.03 = 416.50 : x
  2. Step 2: Convert to fraction form
    767.79/1,152.03 = 416.50/x
  3. Step 3: Cross multiply
    767.79x = 1,152.03 × 416.50
  4. Step 4: Simplify right side
    767.79x = 479,824.49
  5. Step 5: Solve for x
    x = 479,824.49/767.79
  6. Step 6: Final answer
    x = 624.94

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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.