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Finding the Fourth Proportional to 909.42, 1,363.85 and 476.34

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Solution

The fourth proportional to 909.42, 1,363.85 and 476.34 is: 714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.42 : 1,363.85 = 476.34 : x
  2. Step 2: Convert to fraction form
    909.42/1,363.85 = 476.34/x
  3. Step 3: Cross multiply
    909.42x = 1,363.85 × 476.34
  4. Step 4: Simplify right side
    909.42x = 649,653.93
  5. Step 5: Solve for x
    x = 649,653.93/909.42
  6. Step 6: Final answer
    x = 714.36

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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.