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Finding the Fourth Proportional to 1,769.25, 2,653.88 and 470.73

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Solution

The fourth proportional to 1,769.25, 2,653.88 and 470.73 is: 706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.25 : 2,653.88 = 470.73 : x
  2. Step 2: Convert to fraction form
    1,769.25/2,653.88 = 470.73/x
  3. Step 3: Cross multiply
    1,769.25x = 2,653.88 × 470.73
  4. Step 4: Simplify right side
    1,769.25x = 1,249,258.58
  5. Step 5: Solve for x
    x = 1,249,258.58/1,769.25
  6. Step 6: Final answer
    x = 706.10

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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.