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Finding the Fourth Proportional to 774.74, 1,162.52 and 428.01

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Solution

The fourth proportional to 774.74, 1,162.52 and 428.01 is: 642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.74 : 1,162.52 = 428.01 : x
  2. Step 2: Convert to fraction form
    774.74/1,162.52 = 428.01/x
  3. Step 3: Cross multiply
    774.74x = 1,162.52 × 428.01
  4. Step 4: Simplify right side
    774.74x = 497,568.05
  5. Step 5: Solve for x
    x = 497,568.05/774.74
  6. Step 6: Final answer
    x = 642.24

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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.