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Finding the Fourth Proportional to 1,288.71, 1,777.88 and 790.49

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Solution

The fourth proportional to 1,288.71, 1,777.88 and 790.49 is: 1,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.71 : 1,777.88 = 790.49 : x
  2. Step 2: Convert to fraction form
    1,288.71/1,777.88 = 790.49/x
  3. Step 3: Cross multiply
    1,288.71x = 1,777.88 × 790.49
  4. Step 4: Simplify right side
    1,288.71x = 1,405,402.78
  5. Step 5: Solve for x
    x = 1,405,402.78/1,288.71
  6. Step 6: Final answer
    x = 1,090.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.