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Finding the Fourth Proportional to 790.06, 1,184.17 and 698.93

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Solution

The fourth proportional to 790.06, 1,184.17 and 698.93 is: 1,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.06 : 1,184.17 = 698.93 : x
  2. Step 2: Convert to fraction form
    790.06/1,184.17 = 698.93/x
  3. Step 3: Cross multiply
    790.06x = 1,184.17 × 698.93
  4. Step 4: Simplify right side
    790.06x = 827,651.94
  5. Step 5: Solve for x
    x = 827,651.94/790.06
  6. Step 6: Final answer
    x = 1,047.58

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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.