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Finding the Fourth Proportional to 983.85, 1,357.74 and 541.77

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Solution

The fourth proportional to 983.85, 1,357.74 and 541.77 is: 747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.85 : 1,357.74 = 541.77 : x
  2. Step 2: Convert to fraction form
    983.85/1,357.74 = 541.77/x
  3. Step 3: Cross multiply
    983.85x = 1,357.74 × 541.77
  4. Step 4: Simplify right side
    983.85x = 735,582.80
  5. Step 5: Solve for x
    x = 735,582.80/983.85
  6. Step 6: Final answer
    x = 747.66

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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.