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Finding the Fourth Proportional to 937.72, 1,402.80 and 790.06

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Solution

The fourth proportional to 937.72, 1,402.80 and 790.06 is: 1,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.72 : 1,402.80 = 790.06 : x
  2. Step 2: Convert to fraction form
    937.72/1,402.80 = 790.06/x
  3. Step 3: Cross multiply
    937.72x = 1,402.80 × 790.06
  4. Step 4: Simplify right side
    937.72x = 1,108,296.17
  5. Step 5: Solve for x
    x = 1,108,296.17/937.72
  6. Step 6: Final answer
    x = 1,181.91

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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.