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Finding the Fourth Proportional to 1,533.65, 2,297.21 and 712.58

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Solution

The fourth proportional to 1,533.65, 2,297.21 and 712.58 is: 1,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.65 : 2,297.21 = 712.58 : x
  2. Step 2: Convert to fraction form
    1,533.65/2,297.21 = 712.58/x
  3. Step 3: Cross multiply
    1,533.65x = 2,297.21 × 712.58
  4. Step 4: Simplify right side
    1,533.65x = 1,636,930.85
  5. Step 5: Solve for x
    x = 1,636,930.85/1,533.65
  6. Step 6: Final answer
    x = 1,067.35

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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.