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Finding the Fourth Proportional to 790.64, 1,186.79 and 444.27

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Solution

The fourth proportional to 790.64, 1,186.79 and 444.27 is: 666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.64 : 1,186.79 = 444.27 : x
  2. Step 2: Convert to fraction form
    790.64/1,186.79 = 444.27/x
  3. Step 3: Cross multiply
    790.64x = 1,186.79 × 444.27
  4. Step 4: Simplify right side
    790.64x = 527,248.15
  5. Step 5: Solve for x
    x = 527,248.15/790.64
  6. Step 6: Final answer
    x = 666.87

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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.