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Finding the Fourth Proportional to 1,769.49, 2,654.25 and 470.94

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Solution

The fourth proportional to 1,769.49, 2,654.25 and 470.94 is: 706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.49 : 2,654.25 = 470.94 : x
  2. Step 2: Convert to fraction form
    1,769.49/2,654.25 = 470.94/x
  3. Step 3: Cross multiply
    1,769.49x = 2,654.25 × 470.94
  4. Step 4: Simplify right side
    1,769.49x = 1,249,992.50
  5. Step 5: Solve for x
    x = 1,249,992.50/1,769.49
  6. Step 6: Final answer
    x = 706.41

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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.