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Finding the Fourth Proportional to 1,407.64, 2,109.86 and 790.44

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Solution

The fourth proportional to 1,407.64, 2,109.86 and 790.44 is: 1,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.64 : 2,109.86 = 790.44 : x
  2. Step 2: Convert to fraction form
    1,407.64/2,109.86 = 790.44/x
  3. Step 3: Cross multiply
    1,407.64x = 2,109.86 × 790.44
  4. Step 4: Simplify right side
    1,407.64x = 1,667,717.74
  5. Step 5: Solve for x
    x = 1,667,717.74/1,407.64
  6. Step 6: Final answer
    x = 1,184.76

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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.