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Finding the Fourth Proportional to 776.39, 1,071.78 and 527.72

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Solution

The fourth proportional to 776.39, 1,071.78 and 527.72 is: 728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.39 : 1,071.78 = 527.72 : x
  2. Step 2: Convert to fraction form
    776.39/1,071.78 = 527.72/x
  3. Step 3: Cross multiply
    776.39x = 1,071.78 × 527.72
  4. Step 4: Simplify right side
    776.39x = 565,599.74
  5. Step 5: Solve for x
    x = 565,599.74/776.39
  6. Step 6: Final answer
    x = 728.50

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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.