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Finding the Fourth Proportional to 1,458.09, 2,187.13 and 533.14

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Solution

The fourth proportional to 1,458.09, 2,187.13 and 533.14 is: 799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.09 : 2,187.13 = 533.14 : x
  2. Step 2: Convert to fraction form
    1,458.09/2,187.13 = 533.14/x
  3. Step 3: Cross multiply
    1,458.09x = 2,187.13 × 533.14
  4. Step 4: Simplify right side
    1,458.09x = 1,166,046.49
  5. Step 5: Solve for x
    x = 1,166,046.49/1,458.09
  6. Step 6: Final answer
    x = 799.71

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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.