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Finding the Fourth Proportional to 790.46, 1,176.37 and 761.30

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Solution

The fourth proportional to 790.46, 1,176.37 and 761.30 is: 1,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.46 : 1,176.37 = 761.30 : x
  2. Step 2: Convert to fraction form
    790.46/1,176.37 = 761.30/x
  3. Step 3: Cross multiply
    790.46x = 1,176.37 × 761.30
  4. Step 4: Simplify right side
    790.46x = 895,571.39
  5. Step 5: Solve for x
    x = 895,571.39/790.46
  6. Step 6: Final answer
    x = 1,132.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.