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Finding the Fourth Proportional to 1,062.67, 1,594.73 and 485.95

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Solution

The fourth proportional to 1,062.67, 1,594.73 and 485.95 is: 729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.67 : 1,594.73 = 485.95 : x
  2. Step 2: Convert to fraction form
    1,062.67/1,594.73 = 485.95/x
  3. Step 3: Cross multiply
    1,062.67x = 1,594.73 × 485.95
  4. Step 4: Simplify right side
    1,062.67x = 774,959.04
  5. Step 5: Solve for x
    x = 774,959.04/1,062.67
  6. Step 6: Final answer
    x = 729.26

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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.