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Finding the Fourth Proportional to 1,308.81, 1,804.87 and 1,200.76

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Solution

The fourth proportional to 1,308.81, 1,804.87 and 1,200.76 is: 1,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.81 : 1,804.87 = 1,200.76 : x
  2. Step 2: Convert to fraction form
    1,308.81/1,804.87 = 1,200.76/x
  3. Step 3: Cross multiply
    1,308.81x = 1,804.87 × 1,200.76
  4. Step 4: Simplify right side
    1,308.81x = 2,167,215.70
  5. Step 5: Solve for x
    x = 2,167,215.70/1,308.81
  6. Step 6: Final answer
    x = 1,655.87

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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.