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Finding the Fourth Proportional to 972.43, 1,341.96 and 594.22

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Solution

The fourth proportional to 972.43, 1,341.96 and 594.22 is: 820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.43 : 1,341.96 = 594.22 : x
  2. Step 2: Convert to fraction form
    972.43/1,341.96 = 594.22/x
  3. Step 3: Cross multiply
    972.43x = 1,341.96 × 594.22
  4. Step 4: Simplify right side
    972.43x = 797,419.47
  5. Step 5: Solve for x
    x = 797,419.47/972.43
  6. Step 6: Final answer
    x = 820.03

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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.