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Finding the Fourth Proportional to 1,868.92, 2,804.68 and 773.29

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Solution

The fourth proportional to 1,868.92, 2,804.68 and 773.29 is: 1,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.92 : 2,804.68 = 773.29 : x
  2. Step 2: Convert to fraction form
    1,868.92/2,804.68 = 773.29/x
  3. Step 3: Cross multiply
    1,868.92x = 2,804.68 × 773.29
  4. Step 4: Simplify right side
    1,868.92x = 2,168,835.47
  5. Step 5: Solve for x
    x = 2,168,835.47/1,868.92
  6. Step 6: Final answer
    x = 1,160.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.