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Finding the Fourth Proportional to 885.53, 1,222.05 and 582.59

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Solution

The fourth proportional to 885.53, 1,222.05 and 582.59 is: 803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.53 : 1,222.05 = 582.59 : x
  2. Step 2: Convert to fraction form
    885.53/1,222.05 = 582.59/x
  3. Step 3: Cross multiply
    885.53x = 1,222.05 × 582.59
  4. Step 4: Simplify right side
    885.53x = 711,954.11
  5. Step 5: Solve for x
    x = 711,954.11/885.53
  6. Step 6: Final answer
    x = 803.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.