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Finding the Fourth Proportional to 1,028.27, 1,417.93 and 945.04

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Solution

The fourth proportional to 1,028.27, 1,417.93 and 945.04 is: 1,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.27 : 1,417.93 = 945.04 : x
  2. Step 2: Convert to fraction form
    1,028.27/1,417.93 = 945.04/x
  3. Step 3: Cross multiply
    1,028.27x = 1,417.93 × 945.04
  4. Step 4: Simplify right side
    1,028.27x = 1,340,000.57
  5. Step 5: Solve for x
    x = 1,340,000.57/1,028.27
  6. Step 6: Final answer
    x = 1,303.16

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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.