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Finding the Fourth Proportional to 909.82, 1,363.70 and 416.14

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Solution

The fourth proportional to 909.82, 1,363.70 and 416.14 is: 623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.82 : 1,363.70 = 416.14 : x
  2. Step 2: Convert to fraction form
    909.82/1,363.70 = 416.14/x
  3. Step 3: Cross multiply
    909.82x = 1,363.70 × 416.14
  4. Step 4: Simplify right side
    909.82x = 567,490.12
  5. Step 5: Solve for x
    x = 567,490.12/909.82
  6. Step 6: Final answer
    x = 623.74

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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.