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Finding the Fourth Proportional to 1,140.54, 1,709.72 and 447.65

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Solution

The fourth proportional to 1,140.54, 1,709.72 and 447.65 is: 671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.54 : 1,709.72 = 447.65 : x
  2. Step 2: Convert to fraction form
    1,140.54/1,709.72 = 447.65/x
  3. Step 3: Cross multiply
    1,140.54x = 1,709.72 × 447.65
  4. Step 4: Simplify right side
    1,140.54x = 765,356.16
  5. Step 5: Solve for x
    x = 765,356.16/1,140.54
  6. Step 6: Final answer
    x = 671.05

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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.