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Finding the Fourth Proportional to 771.86, 1,157.12 and 284.80

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Solution

The fourth proportional to 771.86, 1,157.12 and 284.80 is: 426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.86 : 1,157.12 = 284.80 : x
  2. Step 2: Convert to fraction form
    771.86/1,157.12 = 284.80/x
  3. Step 3: Cross multiply
    771.86x = 1,157.12 × 284.80
  4. Step 4: Simplify right side
    771.86x = 329,547.78
  5. Step 5: Solve for x
    x = 329,547.78/771.86
  6. Step 6: Final answer
    x = 426.95

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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.