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Finding the Fourth Proportional to 1,038.78, 1,431.56 and 743.54

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Solution

The fourth proportional to 1,038.78, 1,431.56 and 743.54 is: 1,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.78 : 1,431.56 = 743.54 : x
  2. Step 2: Convert to fraction form
    1,038.78/1,431.56 = 743.54/x
  3. Step 3: Cross multiply
    1,038.78x = 1,431.56 × 743.54
  4. Step 4: Simplify right side
    1,038.78x = 1,064,422.12
  5. Step 5: Solve for x
    x = 1,064,422.12/1,038.78
  6. Step 6: Final answer
    x = 1,024.68

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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.