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Finding the Fourth Proportional to 774.50, 1,068.90 and 464

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Solution

The fourth proportional to 774.50, 1,068.90 and 464 is: 640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.50 : 1,068.90 = 464 : x
  2. Step 2: Convert to fraction form
    774.50/1,068.90 = 464/x
  3. Step 3: Cross multiply
    774.50x = 1,068.90 × 464
  4. Step 4: Simplify right side
    774.50x = 495,969.60
  5. Step 5: Solve for x
    x = 495,969.60/774.50
  6. Step 6: Final answer
    x = 640.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.