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Finding the Fourth Proportional to 983.99, 1,357.89 and 541.89

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Solution

The fourth proportional to 983.99, 1,357.89 and 541.89 is: 747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.99 : 1,357.89 = 541.89 : x
  2. Step 2: Convert to fraction form
    983.99/1,357.89 = 541.89/x
  3. Step 3: Cross multiply
    983.99x = 1,357.89 × 541.89
  4. Step 4: Simplify right side
    983.99x = 735,827.01
  5. Step 5: Solve for x
    x = 735,827.01/983.99
  6. Step 6: Final answer
    x = 747.80

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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.