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Finding the Fourth Proportional to 940.94, 1,298.47 and 542.59

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Solution

The fourth proportional to 940.94, 1,298.47 and 542.59 is: 748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.94 : 1,298.47 = 542.59 : x
  2. Step 2: Convert to fraction form
    940.94/1,298.47 = 542.59/x
  3. Step 3: Cross multiply
    940.94x = 1,298.47 × 542.59
  4. Step 4: Simplify right side
    940.94x = 704,539.14
  5. Step 5: Solve for x
    x = 704,539.14/940.94
  6. Step 6: Final answer
    x = 748.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.