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Finding the Fourth Proportional to 1,039.86, 1,561.68 and 901.80

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Solution

The fourth proportional to 1,039.86, 1,561.68 and 901.80 is: 1,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.86 : 1,561.68 = 901.80 : x
  2. Step 2: Convert to fraction form
    1,039.86/1,561.68 = 901.80/x
  3. Step 3: Cross multiply
    1,039.86x = 1,561.68 × 901.80
  4. Step 4: Simplify right side
    1,039.86x = 1,408,323.02
  5. Step 5: Solve for x
    x = 1,408,323.02/1,039.86
  6. Step 6: Final answer
    x = 1,354.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.