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Finding the Fourth Proportional to 790.13, 1,184.28 and 461.18

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Solution

The fourth proportional to 790.13, 1,184.28 and 461.18 is: 691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.13 : 1,184.28 = 461.18 : x
  2. Step 2: Convert to fraction form
    790.13/1,184.28 = 461.18/x
  3. Step 3: Cross multiply
    790.13x = 1,184.28 × 461.18
  4. Step 4: Simplify right side
    790.13x = 546,166.25
  5. Step 5: Solve for x
    x = 546,166.25/790.13
  6. Step 6: Final answer
    x = 691.24

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