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Finding the Fourth Proportional to 1,303.02, 1,798.25 and 743.27

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Solution

The fourth proportional to 1,303.02, 1,798.25 and 743.27 is: 1,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.02 : 1,798.25 = 743.27 : x
  2. Step 2: Convert to fraction form
    1,303.02/1,798.25 = 743.27/x
  3. Step 3: Cross multiply
    1,303.02x = 1,798.25 × 743.27
  4. Step 4: Simplify right side
    1,303.02x = 1,336,572.57
  5. Step 5: Solve for x
    x = 1,336,572.57/1,303.02
  6. Step 6: Final answer
    x = 1,025.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.