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Finding the Fourth Proportional to 774.79, 1,069.25 and 495.00

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Solution

The fourth proportional to 774.79, 1,069.25 and 495.00 is: 683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.79 : 1,069.25 = 495.00 : x
  2. Step 2: Convert to fraction form
    774.79/1,069.25 = 495.00/x
  3. Step 3: Cross multiply
    774.79x = 1,069.25 × 495.00
  4. Step 4: Simplify right side
    774.79x = 529,282.07
  5. Step 5: Solve for x
    x = 529,282.07/774.79
  6. Step 6: Final answer
    x = 683.13

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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.