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Finding the Fourth Proportional to 972.12, 1,341.28 and 578.92

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Solution

The fourth proportional to 972.12, 1,341.28 and 578.92 is: 798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.12 : 1,341.28 = 578.92 : x
  2. Step 2: Convert to fraction form
    972.12/1,341.28 = 578.92/x
  3. Step 3: Cross multiply
    972.12x = 1,341.28 × 578.92
  4. Step 4: Simplify right side
    972.12x = 776,493.82
  5. Step 5: Solve for x
    x = 776,493.82/972.12
  6. Step 6: Final answer
    x = 798.76

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Why These Related Problems?

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