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Finding the Fourth Proportional to 926.94, 1,278.54 and 595.22

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Solution

The fourth proportional to 926.94, 1,278.54 and 595.22 is: 820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.94 : 1,278.54 = 595.22 : x
  2. Step 2: Convert to fraction form
    926.94/1,278.54 = 595.22/x
  3. Step 3: Cross multiply
    926.94x = 1,278.54 × 595.22
  4. Step 4: Simplify right side
    926.94x = 761,012.58
  5. Step 5: Solve for x
    x = 761,012.58/926.94
  6. Step 6: Final answer
    x = 820.99

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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.