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Finding the Fourth Proportional to 922.26, 1,384.17 and 459.90

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Solution

The fourth proportional to 922.26, 1,384.17 and 459.90 is: 690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.26 : 1,384.17 = 459.90 : x
  2. Step 2: Convert to fraction form
    922.26/1,384.17 = 459.90/x
  3. Step 3: Cross multiply
    922.26x = 1,384.17 × 459.90
  4. Step 4: Simplify right side
    922.26x = 636,580.65
  5. Step 5: Solve for x
    x = 636,580.65/922.26
  6. Step 6: Final answer
    x = 690.24

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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.