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Finding the Fourth Proportional to 1,865.16, 2,798.03 and 632.64

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Solution

The fourth proportional to 1,865.16, 2,798.03 and 632.64 is: 949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.16 : 2,798.03 = 632.64 : x
  2. Step 2: Convert to fraction form
    1,865.16/2,798.03 = 632.64/x
  3. Step 3: Cross multiply
    1,865.16x = 2,798.03 × 632.64
  4. Step 4: Simplify right side
    1,865.16x = 1,770,142.54
  5. Step 5: Solve for x
    x = 1,770,142.54/1,865.16
  6. Step 6: Final answer
    x = 949.06

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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.