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Finding the Fourth Proportional to 1,664.55, 2,495.61 and 689.31

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Solution

The fourth proportional to 1,664.55, 2,495.61 and 689.31 is: 1,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.55 : 2,495.61 = 689.31 : x
  2. Step 2: Convert to fraction form
    1,664.55/2,495.61 = 689.31/x
  3. Step 3: Cross multiply
    1,664.55x = 2,495.61 × 689.31
  4. Step 4: Simplify right side
    1,664.55x = 1,720,248.93
  5. Step 5: Solve for x
    x = 1,720,248.93/1,664.55
  6. Step 6: Final answer
    x = 1,033.46

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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.