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Finding the Fourth Proportional to 926.05, 1,278.12 and 594.89

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Solution

The fourth proportional to 926.05, 1,278.12 and 594.89 is: 821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.05 : 1,278.12 = 594.89 : x
  2. Step 2: Convert to fraction form
    926.05/1,278.12 = 594.89/x
  3. Step 3: Cross multiply
    926.05x = 1,278.12 × 594.89
  4. Step 4: Simplify right side
    926.05x = 760,340.81
  5. Step 5: Solve for x
    x = 760,340.81/926.05
  6. Step 6: Final answer
    x = 821.06

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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.