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Finding the Fourth Proportional to 776.28, 1,162.88 and 468.22

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Solution

The fourth proportional to 776.28, 1,162.88 and 468.22 is: 701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.28 : 1,162.88 = 468.22 : x
  2. Step 2: Convert to fraction form
    776.28/1,162.88 = 468.22/x
  3. Step 3: Cross multiply
    776.28x = 1,162.88 × 468.22
  4. Step 4: Simplify right side
    776.28x = 544,483.67
  5. Step 5: Solve for x
    x = 544,483.67/776.28
  6. Step 6: Final answer
    x = 701.40

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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.