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Finding the Fourth Proportional to 1,322.84, 1,983.94 and 542.63

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Solution

The fourth proportional to 1,322.84, 1,983.94 and 542.63 is: 813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.84 : 1,983.94 = 542.63 : x
  2. Step 2: Convert to fraction form
    1,322.84/1,983.94 = 542.63/x
  3. Step 3: Cross multiply
    1,322.84x = 1,983.94 × 542.63
  4. Step 4: Simplify right side
    1,322.84x = 1,076,552.02
  5. Step 5: Solve for x
    x = 1,076,552.02/1,322.84
  6. Step 6: Final answer
    x = 813.82

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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.