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Finding the Fourth Proportional to 772.04, 1,158.04 and 284.82

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Solution

The fourth proportional to 772.04, 1,158.04 and 284.82 is: 427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.04 : 1,158.04 = 284.82 : x
  2. Step 2: Convert to fraction form
    772.04/1,158.04 = 284.82/x
  3. Step 3: Cross multiply
    772.04x = 1,158.04 × 284.82
  4. Step 4: Simplify right side
    772.04x = 329,832.95
  5. Step 5: Solve for x
    x = 329,832.95/772.04
  6. Step 6: Final answer
    x = 427.22

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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.