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Finding the Fourth Proportional to 1,658.98, 2,488.47 and 790.66

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Solution

The fourth proportional to 1,658.98, 2,488.47 and 790.66 is: 1,185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.98 : 2,488.47 = 790.66 : x
  2. Step 2: Convert to fraction form
    1,658.98/2,488.47 = 790.66/x
  3. Step 3: Cross multiply
    1,658.98x = 2,488.47 × 790.66
  4. Step 4: Simplify right side
    1,658.98x = 1,967,533.69
  5. Step 5: Solve for x
    x = 1,967,533.69/1,658.98
  6. Step 6: Final answer
    x = 1,185.99

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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.