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Finding the Fourth Proportional to 1,120.87, 1,680.49 and 709.93

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Solution

The fourth proportional to 1,120.87, 1,680.49 and 709.93 is: 1,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.87 : 1,680.49 = 709.93 : x
  2. Step 2: Convert to fraction form
    1,120.87/1,680.49 = 709.93/x
  3. Step 3: Cross multiply
    1,120.87x = 1,680.49 × 709.93
  4. Step 4: Simplify right side
    1,120.87x = 1,193,030.27
  5. Step 5: Solve for x
    x = 1,193,030.27/1,120.87
  6. Step 6: Final answer
    x = 1,064.38

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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.