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Finding the Fourth Proportional to 1,350.63, 2,026.22 and 529.02

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Solution

The fourth proportional to 1,350.63, 2,026.22 and 529.02 is: 793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.63 : 2,026.22 = 529.02 : x
  2. Step 2: Convert to fraction form
    1,350.63/2,026.22 = 529.02/x
  3. Step 3: Cross multiply
    1,350.63x = 2,026.22 × 529.02
  4. Step 4: Simplify right side
    1,350.63x = 1,071,908.26
  5. Step 5: Solve for x
    x = 1,071,908.26/1,350.63
  6. Step 6: Final answer
    x = 793.64

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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.