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Finding the Fourth Proportional to 973.90, 1,461.09 and 731.02

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Solution

The fourth proportional to 973.90, 1,461.09 and 731.02 is: 1,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.90 : 1,461.09 = 731.02 : x
  2. Step 2: Convert to fraction form
    973.90/1,461.09 = 731.02/x
  3. Step 3: Cross multiply
    973.90x = 1,461.09 × 731.02
  4. Step 4: Simplify right side
    973.90x = 1,068,086.01
  5. Step 5: Solve for x
    x = 1,068,086.01/973.90
  6. Step 6: Final answer
    x = 1,096.71

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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.