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Finding the Fourth Proportional to 1,094.57, 1,640.93 and 444.86

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Solution

The fourth proportional to 1,094.57, 1,640.93 and 444.86 is: 666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.57 : 1,640.93 = 444.86 : x
  2. Step 2: Convert to fraction form
    1,094.57/1,640.93 = 444.86/x
  3. Step 3: Cross multiply
    1,094.57x = 1,640.93 × 444.86
  4. Step 4: Simplify right side
    1,094.57x = 729,973.69
  5. Step 5: Solve for x
    x = 729,973.69/1,094.57
  6. Step 6: Final answer
    x = 666.91

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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.