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Finding the Fourth Proportional to 968.03, 1,335.51 and 594.71

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Solution

The fourth proportional to 968.03, 1,335.51 and 594.71 is: 820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.03 : 1,335.51 = 594.71 : x
  2. Step 2: Convert to fraction form
    968.03/1,335.51 = 594.71/x
  3. Step 3: Cross multiply
    968.03x = 1,335.51 × 594.71
  4. Step 4: Simplify right side
    968.03x = 794,234.47
  5. Step 5: Solve for x
    x = 794,234.47/968.03
  6. Step 6: Final answer
    x = 820.47

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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.