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Finding the Fourth Proportional to 771.65, 1,157.35 and 284.58

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Solution

The fourth proportional to 771.65, 1,157.35 and 284.58 is: 426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.65 : 1,157.35 = 284.58 : x
  2. Step 2: Convert to fraction form
    771.65/1,157.35 = 284.58/x
  3. Step 3: Cross multiply
    771.65x = 1,157.35 × 284.58
  4. Step 4: Simplify right side
    771.65x = 329,358.66
  5. Step 5: Solve for x
    x = 329,358.66/771.65
  6. Step 6: Final answer
    x = 426.82

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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.