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Finding the Fourth Proportional to 1,145.07, 1,723.82 and 1,026

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Solution

The fourth proportional to 1,145.07, 1,723.82 and 1,026 is: 1,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.07 : 1,723.82 = 1,026 : x
  2. Step 2: Convert to fraction form
    1,145.07/1,723.82 = 1,026/x
  3. Step 3: Cross multiply
    1,145.07x = 1,723.82 × 1,026
  4. Step 4: Simplify right side
    1,145.07x = 1,768,634.19
  5. Step 5: Solve for x
    x = 1,768,634.19/1,145.07
  6. Step 6: Final answer
    x = 1,544.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.