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Finding the Fourth Proportional to 1,120.57, 1,680.54 and 390.13

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Solution

The fourth proportional to 1,120.57, 1,680.54 and 390.13 is: 585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.57 : 1,680.54 = 390.13 : x
  2. Step 2: Convert to fraction form
    1,120.57/1,680.54 = 390.13/x
  3. Step 3: Cross multiply
    1,120.57x = 1,680.54 × 390.13
  4. Step 4: Simplify right side
    1,120.57x = 655,629.07
  5. Step 5: Solve for x
    x = 655,629.07/1,120.57
  6. Step 6: Final answer
    x = 585.09

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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.