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Finding the Fourth Proportional to 947.77, 1,419.48 and 790.90

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Solution

The fourth proportional to 947.77, 1,419.48 and 790.90 is: 1,184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.77 : 1,419.48 = 790.90 : x
  2. Step 2: Convert to fraction form
    947.77/1,419.48 = 790.90/x
  3. Step 3: Cross multiply
    947.77x = 1,419.48 × 790.90
  4. Step 4: Simplify right side
    947.77x = 1,122,666.73
  5. Step 5: Solve for x
    x = 1,122,666.73/947.77
  6. Step 6: Final answer
    x = 1,184.53

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Why These Related Problems?

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