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Finding the Fourth Proportional to 1,345.92, 1,857.24 and 756.66

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Solution

The fourth proportional to 1,345.92, 1,857.24 and 756.66 is: 1,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.92 : 1,857.24 = 756.66 : x
  2. Step 2: Convert to fraction form
    1,345.92/1,857.24 = 756.66/x
  3. Step 3: Cross multiply
    1,345.92x = 1,857.24 × 756.66
  4. Step 4: Simplify right side
    1,345.92x = 1,405,299.22
  5. Step 5: Solve for x
    x = 1,405,299.22/1,345.92
  6. Step 6: Final answer
    x = 1,044.12

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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.