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Finding the Fourth Proportional to 774.64, 1,161.66 and 312.30

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Solution

The fourth proportional to 774.64, 1,161.66 and 312.30 is: 468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.64 : 1,161.66 = 312.30 : x
  2. Step 2: Convert to fraction form
    774.64/1,161.66 = 312.30/x
  3. Step 3: Cross multiply
    774.64x = 1,161.66 × 312.30
  4. Step 4: Simplify right side
    774.64x = 362,780.61
  5. Step 5: Solve for x
    x = 362,780.61/774.64
  6. Step 6: Final answer
    x = 468.32

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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.