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Finding the Fourth Proportional to 926, 1,387.92 and 514.94

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Solution

The fourth proportional to 926, 1,387.92 and 514.94 is: 771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    926 : 1,387.92 = 514.94 : x
  2. Step 2: Convert to fraction form
    926/1,387.92 = 514.94/x
  3. Step 3: Cross multiply
    926x = 1,387.92 × 514.94
  4. Step 4: Simplify right side
    926x = 714,695.52
  5. Step 5: Solve for x
    x = 714,695.52/926
  6. Step 6: Final answer
    x = 771.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.