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Finding the Fourth Proportional to 909.54, 1,361.99 and 600.46

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Solution

The fourth proportional to 909.54, 1,361.99 and 600.46 is: 899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.54 : 1,361.99 = 600.46 : x
  2. Step 2: Convert to fraction form
    909.54/1,361.99 = 600.46/x
  3. Step 3: Cross multiply
    909.54x = 1,361.99 × 600.46
  4. Step 4: Simplify right side
    909.54x = 817,818.61
  5. Step 5: Solve for x
    x = 817,818.61/909.54
  6. Step 6: Final answer
    x = 899.16

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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.