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Finding the Fourth Proportional to 1,658.86, 2,488.28 and 426.27

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Solution

The fourth proportional to 1,658.86, 2,488.28 and 426.27 is: 639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.86 : 2,488.28 = 426.27 : x
  2. Step 2: Convert to fraction form
    1,658.86/2,488.28 = 426.27/x
  3. Step 3: Cross multiply
    1,658.86x = 2,488.28 × 426.27
  4. Step 4: Simplify right side
    1,658.86x = 1,060,679.12
  5. Step 5: Solve for x
    x = 1,060,679.12/1,658.86
  6. Step 6: Final answer
    x = 639.40

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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.