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Finding the Fourth Proportional to 776.94, 1,071.54 and 566.88

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Solution

The fourth proportional to 776.94, 1,071.54 and 566.88 is: 781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.94 : 1,071.54 = 566.88 : x
  2. Step 2: Convert to fraction form
    776.94/1,071.54 = 566.88/x
  3. Step 3: Cross multiply
    776.94x = 1,071.54 × 566.88
  4. Step 4: Simplify right side
    776.94x = 607,434.60
  5. Step 5: Solve for x
    x = 607,434.60/776.94
  6. Step 6: Final answer
    x = 781.83

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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.