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Finding the Fourth Proportional to 1,024.92, 1,404.54 and 926.51

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Solution

The fourth proportional to 1,024.92, 1,404.54 and 926.51 is: 1,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.92 : 1,404.54 = 926.51 : x
  2. Step 2: Convert to fraction form
    1,024.92/1,404.54 = 926.51/x
  3. Step 3: Cross multiply
    1,024.92x = 1,404.54 × 926.51
  4. Step 4: Simplify right side
    1,024.92x = 1,301,320.36
  5. Step 5: Solve for x
    x = 1,301,320.36/1,024.92
  6. Step 6: Final answer
    x = 1,269.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.