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Finding the Fourth Proportional to 1,077.06, 1,615.38 and 529.08

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Solution

The fourth proportional to 1,077.06, 1,615.38 and 529.08 is: 793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.06 : 1,615.38 = 529.08 : x
  2. Step 2: Convert to fraction form
    1,077.06/1,615.38 = 529.08/x
  3. Step 3: Cross multiply
    1,077.06x = 1,615.38 × 529.08
  4. Step 4: Simplify right side
    1,077.06x = 854,665.25
  5. Step 5: Solve for x
    x = 854,665.25/1,077.06
  6. Step 6: Final answer
    x = 793.52

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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.