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Finding the Fourth Proportional to 774.48, 1,162.06 and 287.42

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Solution

The fourth proportional to 774.48, 1,162.06 and 287.42 is: 431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.48 : 1,162.06 = 287.42 : x
  2. Step 2: Convert to fraction form
    774.48/1,162.06 = 287.42/x
  3. Step 3: Cross multiply
    774.48x = 1,162.06 × 287.42
  4. Step 4: Simplify right side
    774.48x = 333,992.76
  5. Step 5: Solve for x
    x = 333,992.76/774.48
  6. Step 6: Final answer
    x = 431.25

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1.5x scale

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.