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Finding the Fourth Proportional to 1,322.80, 1,984.32 and 542.76

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Solution

The fourth proportional to 1,322.80, 1,984.32 and 542.76 is: 814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.80 : 1,984.32 = 542.76 : x
  2. Step 2: Convert to fraction form
    1,322.80/1,984.32 = 542.76/x
  3. Step 3: Cross multiply
    1,322.80x = 1,984.32 × 542.76
  4. Step 4: Simplify right side
    1,322.80x = 1,077,009.52
  5. Step 5: Solve for x
    x = 1,077,009.52/1,322.80
  6. Step 6: Final answer
    x = 814.19

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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.