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Finding the Fourth Proportional to 1,093.70, 1,641.54 and 574.05

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Solution

The fourth proportional to 1,093.70, 1,641.54 and 574.05 is: 861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.70 : 1,641.54 = 574.05 : x
  2. Step 2: Convert to fraction form
    1,093.70/1,641.54 = 574.05/x
  3. Step 3: Cross multiply
    1,093.70x = 1,641.54 × 574.05
  4. Step 4: Simplify right side
    1,093.70x = 942,326.04
  5. Step 5: Solve for x
    x = 942,326.04/1,093.70
  6. Step 6: Final answer
    x = 861.60

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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.