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Finding the Fourth Proportional to 1,038.78, 1,433.62 and 1,006.48

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Solution

The fourth proportional to 1,038.78, 1,433.62 and 1,006.48 is: 1,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.78 : 1,433.62 = 1,006.48 : x
  2. Step 2: Convert to fraction form
    1,038.78/1,433.62 = 1,006.48/x
  3. Step 3: Cross multiply
    1,038.78x = 1,433.62 × 1,006.48
  4. Step 4: Simplify right side
    1,038.78x = 1,442,909.86
  5. Step 5: Solve for x
    x = 1,442,909.86/1,038.78
  6. Step 6: Final answer
    x = 1,389.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.