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Finding the Fourth Proportional to 1,006.13, 1,507.91 and 788.16

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Solution

The fourth proportional to 1,006.13, 1,507.91 and 788.16 is: 1,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.13 : 1,507.91 = 788.16 : x
  2. Step 2: Convert to fraction form
    1,006.13/1,507.91 = 788.16/x
  3. Step 3: Cross multiply
    1,006.13x = 1,507.91 × 788.16
  4. Step 4: Simplify right side
    1,006.13x = 1,188,467.22
  5. Step 5: Solve for x
    x = 1,188,467.22/1,006.13
  6. Step 6: Final answer
    x = 1,181.22

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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.