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Finding the Fourth Proportional to 1,658.88, 2,488.77 and 548.28

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Solution

The fourth proportional to 1,658.88, 2,488.77 and 548.28 is: 822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.88 : 2,488.77 = 548.28 : x
  2. Step 2: Convert to fraction form
    1,658.88/2,488.77 = 548.28/x
  3. Step 3: Cross multiply
    1,658.88x = 2,488.77 × 548.28
  4. Step 4: Simplify right side
    1,658.88x = 1,364,542.82
  5. Step 5: Solve for x
    x = 1,364,542.82/1,658.88
  6. Step 6: Final answer
    x = 822.57

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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.