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Finding the Fourth Proportional to 968.07, 1,335.63 and 594.72

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Solution

The fourth proportional to 968.07, 1,335.63 and 594.72 is: 820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.07 : 1,335.63 = 594.72 : x
  2. Step 2: Convert to fraction form
    968.07/1,335.63 = 594.72/x
  3. Step 3: Cross multiply
    968.07x = 1,335.63 × 594.72
  4. Step 4: Simplify right side
    968.07x = 794,325.87
  5. Step 5: Solve for x
    x = 794,325.87/968.07
  6. Step 6: Final answer
    x = 820.53

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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.