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Finding the Fourth Proportional to 1,389.51, 1,917.95 and 800.45

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Solution

The fourth proportional to 1,389.51, 1,917.95 and 800.45 is: 1,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.51 : 1,917.95 = 800.45 : x
  2. Step 2: Convert to fraction form
    1,389.51/1,917.95 = 800.45/x
  3. Step 3: Cross multiply
    1,389.51x = 1,917.95 × 800.45
  4. Step 4: Simplify right side
    1,389.51x = 1,535,215.49
  5. Step 5: Solve for x
    x = 1,535,215.49/1,389.51
  6. Step 6: Final answer
    x = 1,104.86

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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.