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Finding the Fourth Proportional to 885.79, 1,222.42 and 512.89

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Solution

The fourth proportional to 885.79, 1,222.42 and 512.89 is: 707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.79 : 1,222.42 = 512.89 : x
  2. Step 2: Convert to fraction form
    885.79/1,222.42 = 512.89/x
  3. Step 3: Cross multiply
    885.79x = 1,222.42 × 512.89
  4. Step 4: Simplify right side
    885.79x = 626,966.99
  5. Step 5: Solve for x
    x = 626,966.99/885.79
  6. Step 6: Final answer
    x = 707.81

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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.