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Finding the Fourth Proportional to 909.60, 1,361.76 and 585.12

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Solution

The fourth proportional to 909.60, 1,361.76 and 585.12 is: 875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.60 : 1,361.76 = 585.12 : x
  2. Step 2: Convert to fraction form
    909.60/1,361.76 = 585.12/x
  3. Step 3: Cross multiply
    909.60x = 1,361.76 × 585.12
  4. Step 4: Simplify right side
    909.60x = 796,793.01
  5. Step 5: Solve for x
    x = 796,793.01/909.60
  6. Step 6: Final answer
    x = 875.98

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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.