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Finding the Fourth Proportional to 1,322.70, 1,983.48 and 501.63

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Solution

The fourth proportional to 1,322.70, 1,983.48 and 501.63 is: 752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.70 : 1,983.48 = 501.63 : x
  2. Step 2: Convert to fraction form
    1,322.70/1,983.48 = 501.63/x
  3. Step 3: Cross multiply
    1,322.70x = 1,983.48 × 501.63
  4. Step 4: Simplify right side
    1,322.70x = 994,973.07
  5. Step 5: Solve for x
    x = 994,973.07/1,322.70
  6. Step 6: Final answer
    x = 752.23

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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.