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Finding the Fourth Proportional to 1,669.89, 2,505.07 and 695.77

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Solution

The fourth proportional to 1,669.89, 2,505.07 and 695.77 is: 1,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.89 : 2,505.07 = 695.77 : x
  2. Step 2: Convert to fraction form
    1,669.89/2,505.07 = 695.77/x
  3. Step 3: Cross multiply
    1,669.89x = 2,505.07 × 695.77
  4. Step 4: Simplify right side
    1,669.89x = 1,742,944.55
  5. Step 5: Solve for x
    x = 1,742,944.55/1,669.89
  6. Step 6: Final answer
    x = 1,043.75

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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.