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Finding the Fourth Proportional to 774.36, 1,068.64 and 425.04

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Solution

The fourth proportional to 774.36, 1,068.64 and 425.04 is: 586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.36 : 1,068.64 = 425.04 : x
  2. Step 2: Convert to fraction form
    774.36/1,068.64 = 425.04/x
  3. Step 3: Cross multiply
    774.36x = 1,068.64 × 425.04
  4. Step 4: Simplify right side
    774.36x = 454,214.75
  5. Step 5: Solve for x
    x = 454,214.75/774.36
  6. Step 6: Final answer
    x = 586.57

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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.