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Finding the Fourth Proportional to 1,094.88, 1,641.72 and 705.48

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Solution

The fourth proportional to 1,094.88, 1,641.72 and 705.48 is: 1,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.88 : 1,641.72 = 705.48 : x
  2. Step 2: Convert to fraction form
    1,094.88/1,641.72 = 705.48/x
  3. Step 3: Cross multiply
    1,094.88x = 1,641.72 × 705.48
  4. Step 4: Simplify right side
    1,094.88x = 1,158,200.63
  5. Step 5: Solve for x
    x = 1,158,200.63/1,094.88
  6. Step 6: Final answer
    x = 1,057.83

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