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Finding the Fourth Proportional to 1,013.00, 1,398.61 and 943.23

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Solution

The fourth proportional to 1,013.00, 1,398.61 and 943.23 is: 1,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.00 : 1,398.61 = 943.23 : x
  2. Step 2: Convert to fraction form
    1,013.00/1,398.61 = 943.23/x
  3. Step 3: Cross multiply
    1,013.00x = 1,398.61 × 943.23
  4. Step 4: Simplify right side
    1,013.00x = 1,319,206.81
  5. Step 5: Solve for x
    x = 1,319,206.81/1,013.00
  6. Step 6: Final answer
    x = 1,302.28

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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.