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Finding the Fourth Proportional to 1,365.68, 1,884.12 and 911.36

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Solution

The fourth proportional to 1,365.68, 1,884.12 and 911.36 is: 1,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.68 : 1,884.12 = 911.36 : x
  2. Step 2: Convert to fraction form
    1,365.68/1,884.12 = 911.36/x
  3. Step 3: Cross multiply
    1,365.68x = 1,884.12 × 911.36
  4. Step 4: Simplify right side
    1,365.68x = 1,717,111.60
  5. Step 5: Solve for x
    x = 1,717,111.60/1,365.68
  6. Step 6: Final answer
    x = 1,257.33

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1.5x scale

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.