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Finding the Fourth Proportional to 970.92, 1,456.38 and 483.48

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Solution

The fourth proportional to 970.92, 1,456.38 and 483.48 is: 725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.92 : 1,456.38 = 483.48 : x
  2. Step 2: Convert to fraction form
    970.92/1,456.38 = 483.48/x
  3. Step 3: Cross multiply
    970.92x = 1,456.38 × 483.48
  4. Step 4: Simplify right side
    970.92x = 704,130.60
  5. Step 5: Solve for x
    x = 704,130.60/970.92
  6. Step 6: Final answer
    x = 725.22

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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.