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Finding the Fourth Proportional to 1,077.48, 1,615.46 and 529.31

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Solution

The fourth proportional to 1,077.48, 1,615.46 and 529.31 is: 793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.48 : 1,615.46 = 529.31 : x
  2. Step 2: Convert to fraction form
    1,077.48/1,615.46 = 529.31/x
  3. Step 3: Cross multiply
    1,077.48x = 1,615.46 × 529.31
  4. Step 4: Simplify right side
    1,077.48x = 855,080.52
  5. Step 5: Solve for x
    x = 855,080.52/1,077.48
  6. Step 6: Final answer
    x = 793.59

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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.