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Finding the Fourth Proportional to 1,084.02, 1,496.55 and 664.46

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Solution

The fourth proportional to 1,084.02, 1,496.55 and 664.46 is: 917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.02 : 1,496.55 = 664.46 : x
  2. Step 2: Convert to fraction form
    1,084.02/1,496.55 = 664.46/x
  3. Step 3: Cross multiply
    1,084.02x = 1,496.55 × 664.46
  4. Step 4: Simplify right side
    1,084.02x = 994,390.13
  5. Step 5: Solve for x
    x = 994,390.13/1,084.02
  6. Step 6: Final answer
    x = 917.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.