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Finding the Fourth Proportional to 767.07, 1,150.64 and 280.10

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Solution

The fourth proportional to 767.07, 1,150.64 and 280.10 is: 420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.07 : 1,150.64 = 280.10 : x
  2. Step 2: Convert to fraction form
    767.07/1,150.64 = 280.10/x
  3. Step 3: Cross multiply
    767.07x = 1,150.64 × 280.10
  4. Step 4: Simplify right side
    767.07x = 322,294.26
  5. Step 5: Solve for x
    x = 322,294.26/767.07
  6. Step 6: Final answer
    x = 420.16

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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.