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Finding the Fourth Proportional to 925.52, 1,393.74 and 805.23

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Solution

The fourth proportional to 925.52, 1,393.74 and 805.23 is: 1,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.52 : 1,393.74 = 805.23 : x
  2. Step 2: Convert to fraction form
    925.52/1,393.74 = 805.23/x
  3. Step 3: Cross multiply
    925.52x = 1,393.74 × 805.23
  4. Step 4: Simplify right side
    925.52x = 1,122,281.26
  5. Step 5: Solve for x
    x = 1,122,281.26/925.52
  6. Step 6: Final answer
    x = 1,212.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.