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Finding the Fourth Proportional to 926.68, 1,390.62 and 516.11

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Solution

The fourth proportional to 926.68, 1,390.62 and 516.11 is: 774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.68 : 1,390.62 = 516.11 : x
  2. Step 2: Convert to fraction form
    926.68/1,390.62 = 516.11/x
  3. Step 3: Cross multiply
    926.68x = 1,390.62 × 516.11
  4. Step 4: Simplify right side
    926.68x = 717,714.10
  5. Step 5: Solve for x
    x = 717,714.10/926.68
  6. Step 6: Final answer
    x = 774.50

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Why These Related Problems?

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