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Finding the Fourth Proportional to 1,458.94, 2,186.49 and 592.78

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Solution

The fourth proportional to 1,458.94, 2,186.49 and 592.78 is: 888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.94 : 2,186.49 = 592.78 : x
  2. Step 2: Convert to fraction form
    1,458.94/2,186.49 = 592.78/x
  3. Step 3: Cross multiply
    1,458.94x = 2,186.49 × 592.78
  4. Step 4: Simplify right side
    1,458.94x = 1,296,107.54
  5. Step 5: Solve for x
    x = 1,296,107.54/1,458.94
  6. Step 6: Final answer
    x = 888.39

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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.