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Finding the Fourth Proportional to 1,094.03, 1,641.86 and 517.31

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Solution

The fourth proportional to 1,094.03, 1,641.86 and 517.31 is: 776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.03 : 1,641.86 = 517.31 : x
  2. Step 2: Convert to fraction form
    1,094.03/1,641.86 = 517.31/x
  3. Step 3: Cross multiply
    1,094.03x = 1,641.86 × 517.31
  4. Step 4: Simplify right side
    1,094.03x = 849,348.01
  5. Step 5: Solve for x
    x = 849,348.01/1,094.03
  6. Step 6: Final answer
    x = 776.35

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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.