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Finding the Fourth Proportional to 1,530.91, 2,297.66 and 607.12

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Solution

The fourth proportional to 1,530.91, 2,297.66 and 607.12 is: 911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.91 : 2,297.66 = 607.12 : x
  2. Step 2: Convert to fraction form
    1,530.91/2,297.66 = 607.12/x
  3. Step 3: Cross multiply
    1,530.91x = 2,297.66 × 607.12
  4. Step 4: Simplify right side
    1,530.91x = 1,394,949.99
  5. Step 5: Solve for x
    x = 1,394,949.99/1,530.91
  6. Step 6: Final answer
    x = 911.19

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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.