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Finding the Fourth Proportional to 772.58, 1,159.33 and 285.97

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Solution

The fourth proportional to 772.58, 1,159.33 and 285.97 is: 429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.58 : 1,159.33 = 285.97 : x
  2. Step 2: Convert to fraction form
    772.58/1,159.33 = 285.97/x
  3. Step 3: Cross multiply
    772.58x = 1,159.33 × 285.97
  4. Step 4: Simplify right side
    772.58x = 331,533.60
  5. Step 5: Solve for x
    x = 331,533.60/772.58
  6. Step 6: Final answer
    x = 429.13

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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.