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Finding the Fourth Proportional to 1,024.98, 1,404.62 and 926.57

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Solution

The fourth proportional to 1,024.98, 1,404.62 and 926.57 is: 1,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.98 : 1,404.62 = 926.57 : x
  2. Step 2: Convert to fraction form
    1,024.98/1,404.62 = 926.57/x
  3. Step 3: Cross multiply
    1,024.98x = 1,404.62 × 926.57
  4. Step 4: Simplify right side
    1,024.98x = 1,301,474.05
  5. Step 5: Solve for x
    x = 1,301,474.05/1,024.98
  6. Step 6: Final answer
    x = 1,269.76

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