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Finding the Fourth Proportional to 774.10, 1,159.98 and 465.61

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Solution

The fourth proportional to 774.10, 1,159.98 and 465.61 is: 697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.10 : 1,159.98 = 465.61 : x
  2. Step 2: Convert to fraction form
    774.10/1,159.98 = 465.61/x
  3. Step 3: Cross multiply
    774.10x = 1,159.98 × 465.61
  4. Step 4: Simplify right side
    774.10x = 540,093.06
  5. Step 5: Solve for x
    x = 540,093.06/774.10
  6. Step 6: Final answer
    x = 697.71

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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.