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Finding the Fourth Proportional to 1,093.90, 1,641.03 and 400.75

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Solution

The fourth proportional to 1,093.90, 1,641.03 and 400.75 is: 601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.90 : 1,641.03 = 400.75 : x
  2. Step 2: Convert to fraction form
    1,093.90/1,641.03 = 400.75/x
  3. Step 3: Cross multiply
    1,093.90x = 1,641.03 × 400.75
  4. Step 4: Simplify right side
    1,093.90x = 657,642.77
  5. Step 5: Solve for x
    x = 657,642.77/1,093.90
  6. Step 6: Final answer
    x = 601.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.