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Finding the Fourth Proportional to 1,798.64, 2,698.61 and 628.81

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Solution

The fourth proportional to 1,798.64, 2,698.61 and 628.81 is: 943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.64 : 2,698.61 = 628.81 : x
  2. Step 2: Convert to fraction form
    1,798.64/2,698.61 = 628.81/x
  3. Step 3: Cross multiply
    1,798.64x = 2,698.61 × 628.81
  4. Step 4: Simplify right side
    1,798.64x = 1,696,916.56
  5. Step 5: Solve for x
    x = 1,696,916.56/1,798.64
  6. Step 6: Final answer
    x = 943.45

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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.