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Finding the Fourth Proportional to 3,066.59, 4,599.88 and 758.09

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Solution

The fourth proportional to 3,066.59, 4,599.88 and 758.09 is: 1,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.59 : 4,599.88 = 758.09 : x
  2. Step 2: Convert to fraction form
    3,066.59/4,599.88 = 758.09/x
  3. Step 3: Cross multiply
    3,066.59x = 4,599.88 × 758.09
  4. Step 4: Simplify right side
    3,066.59x = 3,487,132.63
  5. Step 5: Solve for x
    x = 3,487,132.63/3,066.59
  6. Step 6: Final answer
    x = 1,137.14

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1.5x scale

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.