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Finding the Fourth Proportional to 1,145.86, 1,580.34 and 996.24

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Solution

The fourth proportional to 1,145.86, 1,580.34 and 996.24 is: 1,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.86 : 1,580.34 = 996.24 : x
  2. Step 2: Convert to fraction form
    1,145.86/1,580.34 = 996.24/x
  3. Step 3: Cross multiply
    1,145.86x = 1,580.34 × 996.24
  4. Step 4: Simplify right side
    1,145.86x = 1,574,397.92
  5. Step 5: Solve for x
    x = 1,574,397.92/1,145.86
  6. Step 6: Final answer
    x = 1,373.99

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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.