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Finding the Fourth Proportional to 775.47, 1,162.41 and 429.19

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Solution

The fourth proportional to 775.47, 1,162.41 and 429.19 is: 643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.47 : 1,162.41 = 429.19 : x
  2. Step 2: Convert to fraction form
    775.47/1,162.41 = 429.19/x
  3. Step 3: Cross multiply
    775.47x = 1,162.41 × 429.19
  4. Step 4: Simplify right side
    775.47x = 498,894.75
  5. Step 5: Solve for x
    x = 498,894.75/775.47
  6. Step 6: Final answer
    x = 643.35

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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.