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Finding the Fourth Proportional to 926.81, 1,279.23 and 595.34

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Solution

The fourth proportional to 926.81, 1,279.23 and 595.34 is: 821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.81 : 1,279.23 = 595.34 : x
  2. Step 2: Convert to fraction form
    926.81/1,279.23 = 595.34/x
  3. Step 3: Cross multiply
    926.81x = 1,279.23 × 595.34
  4. Step 4: Simplify right side
    926.81x = 761,576.79
  5. Step 5: Solve for x
    x = 761,576.79/926.81
  6. Step 6: Final answer
    x = 821.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.