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Finding the Fourth Proportional to 1,470.75, 2,206.68 and 777.39

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Solution

The fourth proportional to 1,470.75, 2,206.68 and 777.39 is: 1,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.75 : 2,206.68 = 777.39 : x
  2. Step 2: Convert to fraction form
    1,470.75/2,206.68 = 777.39/x
  3. Step 3: Cross multiply
    1,470.75x = 2,206.68 × 777.39
  4. Step 4: Simplify right side
    1,470.75x = 1,715,450.97
  5. Step 5: Solve for x
    x = 1,715,450.97/1,470.75
  6. Step 6: Final answer
    x = 1,166.38

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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.