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Finding the Fourth Proportional to 1,466.19, 2,200.01 and 686.25

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Solution

The fourth proportional to 1,466.19, 2,200.01 and 686.25 is: 1,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.19 : 2,200.01 = 686.25 : x
  2. Step 2: Convert to fraction form
    1,466.19/2,200.01 = 686.25/x
  3. Step 3: Cross multiply
    1,466.19x = 2,200.01 × 686.25
  4. Step 4: Simplify right side
    1,466.19x = 1,509,756.86
  5. Step 5: Solve for x
    x = 1,509,756.86/1,466.19
  6. Step 6: Final answer
    x = 1,029.71

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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.