Home / 1,323.27-1,984.93-542.73

Finding the Fourth Proportional to 1,323.27, 1,984.93 and 542.73

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Solution

The fourth proportional to 1,323.27, 1,984.93 and 542.73 is: 814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.27 : 1,984.93 = 542.73 : x
  2. Step 2: Convert to fraction form
    1,323.27/1,984.93 = 542.73/x
  3. Step 3: Cross multiply
    1,323.27x = 1,984.93 × 542.73
  4. Step 4: Simplify right side
    1,323.27x = 1,077,281.06
  5. Step 5: Solve for x
    x = 1,077,281.06/1,323.27
  6. Step 6: Final answer
    x = 814.11

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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.