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Finding the Fourth Proportional to 777.52, 1,164.88 and 406.86

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Solution

The fourth proportional to 777.52, 1,164.88 and 406.86 is: 609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.52 : 1,164.88 = 406.86 : x
  2. Step 2: Convert to fraction form
    777.52/1,164.88 = 406.86/x
  3. Step 3: Cross multiply
    777.52x = 1,164.88 × 406.86
  4. Step 4: Simplify right side
    777.52x = 473,943.08
  5. Step 5: Solve for x
    x = 473,943.08/777.52
  6. Step 6: Final answer
    x = 609.56

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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.