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Finding the Fourth Proportional to 1,314.09, 1,970.19 and 583.61

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Solution

The fourth proportional to 1,314.09, 1,970.19 and 583.61 is: 874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.09 : 1,970.19 = 583.61 : x
  2. Step 2: Convert to fraction form
    1,314.09/1,970.19 = 583.61/x
  3. Step 3: Cross multiply
    1,314.09x = 1,970.19 × 583.61
  4. Step 4: Simplify right side
    1,314.09x = 1,149,812.73
  5. Step 5: Solve for x
    x = 1,149,812.73/1,314.09
  6. Step 6: Final answer
    x = 874.99

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Why These Related Problems?

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