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Finding the Fourth Proportional to 891.77, 1,338.52 and 429.87

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Solution

The fourth proportional to 891.77, 1,338.52 and 429.87 is: 645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.77 : 1,338.52 = 429.87 : x
  2. Step 2: Convert to fraction form
    891.77/1,338.52 = 429.87/x
  3. Step 3: Cross multiply
    891.77x = 1,338.52 × 429.87
  4. Step 4: Simplify right side
    891.77x = 575,389.59
  5. Step 5: Solve for x
    x = 575,389.59/891.77
  6. Step 6: Final answer
    x = 645.22

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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.