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Finding the Fourth Proportional to 1,990.32, 2,985.53 and 529.47

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Solution

The fourth proportional to 1,990.32, 2,985.53 and 529.47 is: 794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.32 : 2,985.53 = 529.47 : x
  2. Step 2: Convert to fraction form
    1,990.32/2,985.53 = 529.47/x
  3. Step 3: Cross multiply
    1,990.32x = 2,985.53 × 529.47
  4. Step 4: Simplify right side
    1,990.32x = 1,580,745.92
  5. Step 5: Solve for x
    x = 1,580,745.92/1,990.32
  6. Step 6: Final answer
    x = 794.22

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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.