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Finding the Fourth Proportional to 1,048.76, 1,447.20 and 576.65

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Solution

The fourth proportional to 1,048.76, 1,447.20 and 576.65 is: 795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.76 : 1,447.20 = 576.65 : x
  2. Step 2: Convert to fraction form
    1,048.76/1,447.20 = 576.65/x
  3. Step 3: Cross multiply
    1,048.76x = 1,447.20 × 576.65
  4. Step 4: Simplify right side
    1,048.76x = 834,529.07
  5. Step 5: Solve for x
    x = 834,529.07/1,048.76
  6. Step 6: Final answer
    x = 795.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.