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Finding the Fourth Proportional to 790.22, 1,184.13 and 500.78

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Solution

The fourth proportional to 790.22, 1,184.13 and 500.78 is: 750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.22 : 1,184.13 = 500.78 : x
  2. Step 2: Convert to fraction form
    790.22/1,184.13 = 500.78/x
  3. Step 3: Cross multiply
    790.22x = 1,184.13 × 500.78
  4. Step 4: Simplify right side
    790.22x = 592,988.62
  5. Step 5: Solve for x
    x = 592,988.62/790.22
  6. Step 6: Final answer
    x = 750.41

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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.