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Finding the Fourth Proportional to 772.65, 1,159.02 and 285.66

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Solution

The fourth proportional to 772.65, 1,159.02 and 285.66 is: 428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.65 : 1,159.02 = 285.66 : x
  2. Step 2: Convert to fraction form
    772.65/1,159.02 = 285.66/x
  3. Step 3: Cross multiply
    772.65x = 1,159.02 × 285.66
  4. Step 4: Simplify right side
    772.65x = 331,085.65
  5. Step 5: Solve for x
    x = 331,085.65/772.65
  6. Step 6: Final answer
    x = 428.51

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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.