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Finding the Fourth Proportional to 1,389.99, 1,918.06 and 800.56

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Solution

The fourth proportional to 1,389.99, 1,918.06 and 800.56 is: 1,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.99 : 1,918.06 = 800.56 : x
  2. Step 2: Convert to fraction form
    1,389.99/1,918.06 = 800.56/x
  3. Step 3: Cross multiply
    1,389.99x = 1,918.06 × 800.56
  4. Step 4: Simplify right side
    1,389.99x = 1,535,522.11
  5. Step 5: Solve for x
    x = 1,535,522.11/1,389.99
  6. Step 6: Final answer
    x = 1,104.70

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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.