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Finding the Fourth Proportional to 1,301.74, 1,951.44 and 972.27

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Solution

The fourth proportional to 1,301.74, 1,951.44 and 972.27 is: 1,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.74 : 1,951.44 = 972.27 : x
  2. Step 2: Convert to fraction form
    1,301.74/1,951.44 = 972.27/x
  3. Step 3: Cross multiply
    1,301.74x = 1,951.44 × 972.27
  4. Step 4: Simplify right side
    1,301.74x = 1,897,328.39
  5. Step 5: Solve for x
    x = 1,897,328.39/1,301.74
  6. Step 6: Final answer
    x = 1,457.54

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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.