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Finding the Fourth Proportional to 989.73, 1,483.25 and 714.60

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Solution

The fourth proportional to 989.73, 1,483.25 and 714.60 is: 1,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.73 : 1,483.25 = 714.60 : x
  2. Step 2: Convert to fraction form
    989.73/1,483.25 = 714.60/x
  3. Step 3: Cross multiply
    989.73x = 1,483.25 × 714.60
  4. Step 4: Simplify right side
    989.73x = 1,059,926.88
  5. Step 5: Solve for x
    x = 1,059,926.88/989.73
  6. Step 6: Final answer
    x = 1,070.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.