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Finding the Fourth Proportional to 1,062.66, 1,593.16 and 485.13

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Solution

The fourth proportional to 1,062.66, 1,593.16 and 485.13 is: 727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.66 : 1,593.16 = 485.13 : x
  2. Step 2: Convert to fraction form
    1,062.66/1,593.16 = 485.13/x
  3. Step 3: Cross multiply
    1,062.66x = 1,593.16 × 485.13
  4. Step 4: Simplify right side
    1,062.66x = 772,889.71
  5. Step 5: Solve for x
    x = 772,889.71/1,062.66
  6. Step 6: Final answer
    x = 727.32

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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.