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Finding the Fourth Proportional to 774.42, 1,068.57 and 463.92

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Solution

The fourth proportional to 774.42, 1,068.57 and 463.92 is: 640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.42 : 1,068.57 = 463.92 : x
  2. Step 2: Convert to fraction form
    774.42/1,068.57 = 463.92/x
  3. Step 3: Cross multiply
    774.42x = 1,068.57 × 463.92
  4. Step 4: Simplify right side
    774.42x = 495,730.99
  5. Step 5: Solve for x
    x = 495,730.99/774.42
  6. Step 6: Final answer
    x = 640.13

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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.