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Finding the Fourth Proportional to 885.86, 1,223.67 and 666.46

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Solution

The fourth proportional to 885.86, 1,223.67 and 666.46 is: 920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.86 : 1,223.67 = 666.46 : x
  2. Step 2: Convert to fraction form
    885.86/1,223.67 = 666.46/x
  3. Step 3: Cross multiply
    885.86x = 1,223.67 × 666.46
  4. Step 4: Simplify right side
    885.86x = 815,527.11
  5. Step 5: Solve for x
    x = 815,527.11/885.86
  6. Step 6: Final answer
    x = 920.60

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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.