Home / 1,322.67-1,983.45-542.13

Finding the Fourth Proportional to 1,322.67, 1,983.45 and 542.13

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Solution

The fourth proportional to 1,322.67, 1,983.45 and 542.13 is: 812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.67 : 1,983.45 = 542.13 : x
  2. Step 2: Convert to fraction form
    1,322.67/1,983.45 = 542.13/x
  3. Step 3: Cross multiply
    1,322.67x = 1,983.45 × 542.13
  4. Step 4: Simplify right side
    1,322.67x = 1,075,287.75
  5. Step 5: Solve for x
    x = 1,075,287.75/1,322.67
  6. Step 6: Final answer
    x = 812.97

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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.