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Finding the Fourth Proportional to 926.67, 1,278.20 and 594.57

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Solution

The fourth proportional to 926.67, 1,278.20 and 594.57 is: 820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.67 : 1,278.20 = 594.57 : x
  2. Step 2: Convert to fraction form
    926.67/1,278.20 = 594.57/x
  3. Step 3: Cross multiply
    926.67x = 1,278.20 × 594.57
  4. Step 4: Simplify right side
    926.67x = 759,979.37
  5. Step 5: Solve for x
    x = 759,979.37/926.67
  6. Step 6: Final answer
    x = 820.12

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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.