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Finding the Fourth Proportional to 983.96, 1,357.80 and 541.77

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Solution

The fourth proportional to 983.96, 1,357.80 and 541.77 is: 747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.96 : 1,357.80 = 541.77 : x
  2. Step 2: Convert to fraction form
    983.96/1,357.80 = 541.77/x
  3. Step 3: Cross multiply
    983.96x = 1,357.80 × 541.77
  4. Step 4: Simplify right side
    983.96x = 735,617.34
  5. Step 5: Solve for x
    x = 735,617.34/983.96
  6. Step 6: Final answer
    x = 747.61

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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.