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Finding the Fourth Proportional to 1,303.43, 1,800.32 and 1,024.61

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Solution

The fourth proportional to 1,303.43, 1,800.32 and 1,024.61 is: 1,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.43 : 1,800.32 = 1,024.61 : x
  2. Step 2: Convert to fraction form
    1,303.43/1,800.32 = 1,024.61/x
  3. Step 3: Cross multiply
    1,303.43x = 1,800.32 × 1,024.61
  4. Step 4: Simplify right side
    1,303.43x = 1,844,611.75
  5. Step 5: Solve for x
    x = 1,844,611.75/1,303.43
  6. Step 6: Final answer
    x = 1,415.20

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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.