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Finding the Fourth Proportional to 972.52, 1,341.44 and 579.24

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Solution

The fourth proportional to 972.52, 1,341.44 and 579.24 is: 798.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.52 : 1,341.44 = 579.24 : x
  2. Step 2: Convert to fraction form
    972.52/1,341.44 = 579.24/x
  3. Step 3: Cross multiply
    972.52x = 1,341.44 × 579.24
  4. Step 4: Simplify right side
    972.52x = 777,015.71
  5. Step 5: Solve for x
    x = 777,015.71/972.52
  6. Step 6: Final answer
    x = 798.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.