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Finding the Fourth Proportional to 1,383.68, 1,909.96 and 918.08

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Solution

The fourth proportional to 1,383.68, 1,909.96 and 918.08 is: 1,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.68 : 1,909.96 = 918.08 : x
  2. Step 2: Convert to fraction form
    1,383.68/1,909.96 = 918.08/x
  3. Step 3: Cross multiply
    1,383.68x = 1,909.96 × 918.08
  4. Step 4: Simplify right side
    1,383.68x = 1,753,496.08
  5. Step 5: Solve for x
    x = 1,753,496.08/1,383.68
  6. Step 6: Final answer
    x = 1,267.27

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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.