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Finding the Fourth Proportional to 774.64, 1,069 and 425.32

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Solution

The fourth proportional to 774.64, 1,069 and 425.32 is: 586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.64 : 1,069 = 425.32 : x
  2. Step 2: Convert to fraction form
    774.64/1,069 = 425.32/x
  3. Step 3: Cross multiply
    774.64x = 1,069 × 425.32
  4. Step 4: Simplify right side
    774.64x = 454,667.08
  5. Step 5: Solve for x
    x = 454,667.08/774.64
  6. Step 6: Final answer
    x = 586.94

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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.