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Finding the Fourth Proportional to 1,077.22, 1,615.84 and 529.79

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Solution

The fourth proportional to 1,077.22, 1,615.84 and 529.79 is: 794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.22 : 1,615.84 = 529.79 : x
  2. Step 2: Convert to fraction form
    1,077.22/1,615.84 = 529.79/x
  3. Step 3: Cross multiply
    1,077.22x = 1,615.84 × 529.79
  4. Step 4: Simplify right side
    1,077.22x = 856,054.81
  5. Step 5: Solve for x
    x = 856,054.81/1,077.22
  6. Step 6: Final answer
    x = 794.69

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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.