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Finding the Fourth Proportional to 1,458.36, 2,186.82 and 533.22

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Solution

The fourth proportional to 1,458.36, 2,186.82 and 533.22 is: 799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.36 : 2,186.82 = 533.22 : x
  2. Step 2: Convert to fraction form
    1,458.36/2,186.82 = 533.22/x
  3. Step 3: Cross multiply
    1,458.36x = 2,186.82 × 533.22
  4. Step 4: Simplify right side
    1,458.36x = 1,166,056.16
  5. Step 5: Solve for x
    x = 1,166,056.16/1,458.36
  6. Step 6: Final answer
    x = 799.57

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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.