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Finding the Fourth Proportional to 967.61, 1,335.69 and 594.74

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Solution

The fourth proportional to 967.61, 1,335.69 and 594.74 is: 820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.61 : 1,335.69 = 594.74 : x
  2. Step 2: Convert to fraction form
    967.61/1,335.69 = 594.74/x
  3. Step 3: Cross multiply
    967.61x = 1,335.69 × 594.74
  4. Step 4: Simplify right side
    967.61x = 794,391.61
  5. Step 5: Solve for x
    x = 794,391.61/967.61
  6. Step 6: Final answer
    x = 820.98

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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.