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Finding the Fourth Proportional to 926.61, 1,279.85 and 732.69

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Solution

The fourth proportional to 926.61, 1,279.85 and 732.69 is: 1,012.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.61 : 1,279.85 = 732.69 : x
  2. Step 2: Convert to fraction form
    926.61/1,279.85 = 732.69/x
  3. Step 3: Cross multiply
    926.61x = 1,279.85 × 732.69
  4. Step 4: Simplify right side
    926.61x = 937,729.63
  5. Step 5: Solve for x
    x = 937,729.63/926.61
  6. Step 6: Final answer
    x = 1,012.00

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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.