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Finding the Fourth Proportional to 925.66, 1,277.29 and 594.54

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Solution

The fourth proportional to 925.66, 1,277.29 and 594.54 is: 820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.66 : 1,277.29 = 594.54 : x
  2. Step 2: Convert to fraction form
    925.66/1,277.29 = 594.54/x
  3. Step 3: Cross multiply
    925.66x = 1,277.29 × 594.54
  4. Step 4: Simplify right side
    925.66x = 759,392.12
  5. Step 5: Solve for x
    x = 759,392.12/925.66
  6. Step 6: Final answer
    x = 820.38

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1.5x scale

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.