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Finding the Fourth Proportional to 1,313.83, 1,970.75 and 583.21

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Solution

The fourth proportional to 1,313.83, 1,970.75 and 583.21 is: 874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.83 : 1,970.75 = 583.21 : x
  2. Step 2: Convert to fraction form
    1,313.83/1,970.75 = 583.21/x
  3. Step 3: Cross multiply
    1,313.83x = 1,970.75 × 583.21
  4. Step 4: Simplify right side
    1,313.83x = 1,149,361.11
  5. Step 5: Solve for x
    x = 1,149,361.11/1,313.83
  6. Step 6: Final answer
    x = 874.82

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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.