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Finding the Fourth Proportional to 1,442.86, 1,991.58 and 904.78

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Solution

The fourth proportional to 1,442.86, 1,991.58 and 904.78 is: 1,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.86 : 1,991.58 = 904.78 : x
  2. Step 2: Convert to fraction form
    1,442.86/1,991.58 = 904.78/x
  3. Step 3: Cross multiply
    1,442.86x = 1,991.58 × 904.78
  4. Step 4: Simplify right side
    1,442.86x = 1,801,941.75
  5. Step 5: Solve for x
    x = 1,801,941.75/1,442.86
  6. Step 6: Final answer
    x = 1,248.87

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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.