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Finding the Fourth Proportional to 774.49, 1,068.74 and 425.11

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Solution

The fourth proportional to 774.49, 1,068.74 and 425.11 is: 586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.49 : 1,068.74 = 425.11 : x
  2. Step 2: Convert to fraction form
    774.49/1,068.74 = 425.11/x
  3. Step 3: Cross multiply
    774.49x = 1,068.74 × 425.11
  4. Step 4: Simplify right side
    774.49x = 454,332.06
  5. Step 5: Solve for x
    x = 454,332.06/774.49
  6. Step 6: Final answer
    x = 586.62

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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.