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Finding the Fourth Proportional to 973.54, 1,456.47 and 752.44

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Solution

The fourth proportional to 973.54, 1,456.47 and 752.44 is: 1,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.54 : 1,456.47 = 752.44 : x
  2. Step 2: Convert to fraction form
    973.54/1,456.47 = 752.44/x
  3. Step 3: Cross multiply
    973.54x = 1,456.47 × 752.44
  4. Step 4: Simplify right side
    973.54x = 1,095,906.29
  5. Step 5: Solve for x
    x = 1,095,906.29/973.54
  6. Step 6: Final answer
    x = 1,125.69

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