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Finding the Fourth Proportional to 1,094.00, 1,640.93 and 477.54

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Solution

The fourth proportional to 1,094.00, 1,640.93 and 477.54 is: 716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.00 : 1,640.93 = 477.54 : x
  2. Step 2: Convert to fraction form
    1,094.00/1,640.93 = 477.54/x
  3. Step 3: Cross multiply
    1,094.00x = 1,640.93 × 477.54
  4. Step 4: Simplify right side
    1,094.00x = 783,607.32
  5. Step 5: Solve for x
    x = 783,607.32/1,094.00
  6. Step 6: Final answer
    x = 716.28

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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.