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Finding the Fourth Proportional to 885.67, 1,222.32 and 512.64

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Solution

The fourth proportional to 885.67, 1,222.32 and 512.64 is: 707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.67 : 1,222.32 = 512.64 : x
  2. Step 2: Convert to fraction form
    885.67/1,222.32 = 512.64/x
  3. Step 3: Cross multiply
    885.67x = 1,222.32 × 512.64
  4. Step 4: Simplify right side
    885.67x = 626,610.12
  5. Step 5: Solve for x
    x = 626,610.12/885.67
  6. Step 6: Final answer
    x = 707.50

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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.