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Finding the Fourth Proportional to 1,533.86, 2,299.94 and 711.68

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Solution

The fourth proportional to 1,533.86, 2,299.94 and 711.68 is: 1,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.86 : 2,299.94 = 711.68 : x
  2. Step 2: Convert to fraction form
    1,533.86/2,299.94 = 711.68/x
  3. Step 3: Cross multiply
    1,533.86x = 2,299.94 × 711.68
  4. Step 4: Simplify right side
    1,533.86x = 1,636,821.30
  5. Step 5: Solve for x
    x = 1,636,821.30/1,533.86
  6. Step 6: Final answer
    x = 1,067.13

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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.