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Finding the Fourth Proportional to 771.55, 1,156.75 and 284.51

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Solution

The fourth proportional to 771.55, 1,156.75 and 284.51 is: 426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.55 : 1,156.75 = 284.51 : x
  2. Step 2: Convert to fraction form
    771.55/1,156.75 = 284.51/x
  3. Step 3: Cross multiply
    771.55x = 1,156.75 × 284.51
  4. Step 4: Simplify right side
    771.55x = 329,106.94
  5. Step 5: Solve for x
    x = 329,106.94/771.55
  6. Step 6: Final answer
    x = 426.55

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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.