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Finding the Fourth Proportional to 776.40, 1,162.76 and 559.28

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Solution

The fourth proportional to 776.40, 1,162.76 and 559.28 is: 837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.40 : 1,162.76 = 559.28 : x
  2. Step 2: Convert to fraction form
    776.40/1,162.76 = 559.28/x
  3. Step 3: Cross multiply
    776.40x = 1,162.76 × 559.28
  4. Step 4: Simplify right side
    776.40x = 650,308.41
  5. Step 5: Solve for x
    x = 650,308.41/776.40
  6. Step 6: Final answer
    x = 837.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.