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Finding the Fourth Proportional to 926.44, 1,278.86 and 594.84

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Solution

The fourth proportional to 926.44, 1,278.86 and 594.84 is: 821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.44 : 1,278.86 = 594.84 : x
  2. Step 2: Convert to fraction form
    926.44/1,278.86 = 594.84/x
  3. Step 3: Cross multiply
    926.44x = 1,278.86 × 594.84
  4. Step 4: Simplify right side
    926.44x = 760,717.08
  5. Step 5: Solve for x
    x = 760,717.08/926.44
  6. Step 6: Final answer
    x = 821.12

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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.