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Finding the Fourth Proportional to 1,366.17, 2,048.83 and 707.84

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Solution

The fourth proportional to 1,366.17, 2,048.83 and 707.84 is: 1,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.17 : 2,048.83 = 707.84 : x
  2. Step 2: Convert to fraction form
    1,366.17/2,048.83 = 707.84/x
  3. Step 3: Cross multiply
    1,366.17x = 2,048.83 × 707.84
  4. Step 4: Simplify right side
    1,366.17x = 1,450,239.50
  5. Step 5: Solve for x
    x = 1,450,239.50/1,366.17
  6. Step 6: Final answer
    x = 1,061.54

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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.