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Finding the Fourth Proportional to 1,093.17, 1,516.31 and 1,053.77

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Solution

The fourth proportional to 1,093.17, 1,516.31 and 1,053.77 is: 1,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.17 : 1,516.31 = 1,053.77 : x
  2. Step 2: Convert to fraction form
    1,093.17/1,516.31 = 1,053.77/x
  3. Step 3: Cross multiply
    1,093.17x = 1,516.31 × 1,053.77
  4. Step 4: Simplify right side
    1,093.17x = 1,597,829.14
  5. Step 5: Solve for x
    x = 1,597,829.14/1,093.17
  6. Step 6: Final answer
    x = 1,461.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.