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Finding the Fourth Proportional to 1,044.48, 1,433.40 and 946.06

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Solution

The fourth proportional to 1,044.48, 1,433.40 and 946.06 is: 1,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.48 : 1,433.40 = 946.06 : x
  2. Step 2: Convert to fraction form
    1,044.48/1,433.40 = 946.06/x
  3. Step 3: Cross multiply
    1,044.48x = 1,433.40 × 946.06
  4. Step 4: Simplify right side
    1,044.48x = 1,356,082.40
  5. Step 5: Solve for x
    x = 1,356,082.40/1,044.48
  6. Step 6: Final answer
    x = 1,298.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.