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Finding the Fourth Proportional to 1,466.59, 2,200.80 and 600.91

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Solution

The fourth proportional to 1,466.59, 2,200.80 and 600.91 is: 901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.59 : 2,200.80 = 600.91 : x
  2. Step 2: Convert to fraction form
    1,466.59/2,200.80 = 600.91/x
  3. Step 3: Cross multiply
    1,466.59x = 2,200.80 × 600.91
  4. Step 4: Simplify right side
    1,466.59x = 1,322,482.73
  5. Step 5: Solve for x
    x = 1,322,482.73/1,466.59
  6. Step 6: Final answer
    x = 901.74

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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.