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Finding the Fourth Proportional to 767.92, 1,152.63 and 357.15

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Solution

The fourth proportional to 767.92, 1,152.63 and 357.15 is: 536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.92 : 1,152.63 = 357.15 : x
  2. Step 2: Convert to fraction form
    767.92/1,152.63 = 357.15/x
  3. Step 3: Cross multiply
    767.92x = 1,152.63 × 357.15
  4. Step 4: Simplify right side
    767.92x = 411,661.80
  5. Step 5: Solve for x
    x = 411,661.80/767.92
  6. Step 6: Final answer
    x = 536.07

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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.