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Finding the Fourth Proportional to 1,458.21, 2,186.62 and 533.11

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Solution

The fourth proportional to 1,458.21, 2,186.62 and 533.11 is: 799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.21 : 2,186.62 = 533.11 : x
  2. Step 2: Convert to fraction form
    1,458.21/2,186.62 = 533.11/x
  3. Step 3: Cross multiply
    1,458.21x = 2,186.62 × 533.11
  4. Step 4: Simplify right side
    1,458.21x = 1,165,708.99
  5. Step 5: Solve for x
    x = 1,165,708.99/1,458.21
  6. Step 6: Final answer
    x = 799.41

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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.