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Finding the Fourth Proportional to 1,048.87, 1,447.42 and 576.77

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Solution

The fourth proportional to 1,048.87, 1,447.42 and 576.77 is: 795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.87 : 1,447.42 = 576.77 : x
  2. Step 2: Convert to fraction form
    1,048.87/1,447.42 = 576.77/x
  3. Step 3: Cross multiply
    1,048.87x = 1,447.42 × 576.77
  4. Step 4: Simplify right side
    1,048.87x = 834,825.55
  5. Step 5: Solve for x
    x = 834,825.55/1,048.87
  6. Step 6: Final answer
    x = 795.93

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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.