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Finding the Fourth Proportional to 774.23, 1,154.62 and 659.41

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Solution

The fourth proportional to 774.23, 1,154.62 and 659.41 is: 983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.23 : 1,154.62 = 659.41 : x
  2. Step 2: Convert to fraction form
    774.23/1,154.62 = 659.41/x
  3. Step 3: Cross multiply
    774.23x = 1,154.62 × 659.41
  4. Step 4: Simplify right side
    774.23x = 761,365.91
  5. Step 5: Solve for x
    x = 761,365.91/774.23
  6. Step 6: Final answer
    x = 983.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.