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Finding the Fourth Proportional to 775.59, 1,162.29 and 429.08

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Solution

The fourth proportional to 775.59, 1,162.29 and 429.08 is: 643.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.59 : 1,162.29 = 429.08 : x
  2. Step 2: Convert to fraction form
    775.59/1,162.29 = 429.08/x
  3. Step 3: Cross multiply
    775.59x = 1,162.29 × 429.08
  4. Step 4: Simplify right side
    775.59x = 498,709.58
  5. Step 5: Solve for x
    x = 498,709.58/775.59
  6. Step 6: Final answer
    x = 643.01

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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.