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Finding the Fourth Proportional to 1,005.75, 1,388.07 and 656.64

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Solution

The fourth proportional to 1,005.75, 1,388.07 and 656.64 is: 906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.75 : 1,388.07 = 656.64 : x
  2. Step 2: Convert to fraction form
    1,005.75/1,388.07 = 656.64/x
  3. Step 3: Cross multiply
    1,005.75x = 1,388.07 × 656.64
  4. Step 4: Simplify right side
    1,005.75x = 911,462.28
  5. Step 5: Solve for x
    x = 911,462.28/1,005.75
  6. Step 6: Final answer
    x = 906.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.