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Finding the Fourth Proportional to 790.68, 1,184.30 and 515.93

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Solution

The fourth proportional to 790.68, 1,184.30 and 515.93 is: 772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.68 : 1,184.30 = 515.93 : x
  2. Step 2: Convert to fraction form
    790.68/1,184.30 = 515.93/x
  3. Step 3: Cross multiply
    790.68x = 1,184.30 × 515.93
  4. Step 4: Simplify right side
    790.68x = 611,020.15
  5. Step 5: Solve for x
    x = 611,020.15/790.68
  6. Step 6: Final answer
    x = 772.78

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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.