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Finding the Fourth Proportional to 1,308.44, 1,804.79 and 836.48

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Solution

The fourth proportional to 1,308.44, 1,804.79 and 836.48 is: 1,153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.44 : 1,804.79 = 836.48 : x
  2. Step 2: Convert to fraction form
    1,308.44/1,804.79 = 836.48/x
  3. Step 3: Cross multiply
    1,308.44x = 1,804.79 × 836.48
  4. Step 4: Simplify right side
    1,308.44x = 1,509,657.53
  5. Step 5: Solve for x
    x = 1,509,657.53/1,308.44
  6. Step 6: Final answer
    x = 1,153.79

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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.