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Finding the Fourth Proportional to 885.90, 1,222.56 and 513

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Solution

The fourth proportional to 885.90, 1,222.56 and 513 is: 707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.90 : 1,222.56 = 513 : x
  2. Step 2: Convert to fraction form
    885.90/1,222.56 = 513/x
  3. Step 3: Cross multiply
    885.90x = 1,222.56 × 513
  4. Step 4: Simplify right side
    885.90x = 627,173.28
  5. Step 5: Solve for x
    x = 627,173.28/885.90
  6. Step 6: Final answer
    x = 707.95

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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.