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Finding the Fourth Proportional to 1,313.43, 1,970.82 and 583.53

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Solution

The fourth proportional to 1,313.43, 1,970.82 and 583.53 is: 875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.43 : 1,970.82 = 583.53 : x
  2. Step 2: Convert to fraction form
    1,313.43/1,970.82 = 583.53/x
  3. Step 3: Cross multiply
    1,313.43x = 1,970.82 × 583.53
  4. Step 4: Simplify right side
    1,313.43x = 1,150,032.59
  5. Step 5: Solve for x
    x = 1,150,032.59/1,313.43
  6. Step 6: Final answer
    x = 875.59

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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.