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Finding the Fourth Proportional to 893.73, 1,234.71 and 714.66

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Solution

The fourth proportional to 893.73, 1,234.71 and 714.66 is: 987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.73 : 1,234.71 = 714.66 : x
  2. Step 2: Convert to fraction form
    893.73/1,234.71 = 714.66/x
  3. Step 3: Cross multiply
    893.73x = 1,234.71 × 714.66
  4. Step 4: Simplify right side
    893.73x = 882,397.85
  5. Step 5: Solve for x
    x = 882,397.85/893.73
  6. Step 6: Final answer
    x = 987.32

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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.