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Finding the Fourth Proportional to 1,308.40, 1,805.62 and 804.40

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Solution

The fourth proportional to 1,308.40, 1,805.62 and 804.40 is: 1,110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.40 : 1,805.62 = 804.40 : x
  2. Step 2: Convert to fraction form
    1,308.40/1,805.62 = 804.40/x
  3. Step 3: Cross multiply
    1,308.40x = 1,805.62 × 804.40
  4. Step 4: Simplify right side
    1,308.40x = 1,452,440.73
  5. Step 5: Solve for x
    x = 1,452,440.73/1,308.40
  6. Step 6: Final answer
    x = 1,110.09

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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.