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Finding the Fourth Proportional to 885.98, 1,223.16 and 689.06

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Solution

The fourth proportional to 885.98, 1,223.16 and 689.06 is: 951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.98 : 1,223.16 = 689.06 : x
  2. Step 2: Convert to fraction form
    885.98/1,223.16 = 689.06/x
  3. Step 3: Cross multiply
    885.98x = 1,223.16 × 689.06
  4. Step 4: Simplify right side
    885.98x = 842,830.63
  5. Step 5: Solve for x
    x = 842,830.63/885.98
  6. Step 6: Final answer
    x = 951.30

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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.