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Finding the Fourth Proportional to 985.05, 1,359.40 and 542.96

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Solution

The fourth proportional to 985.05, 1,359.40 and 542.96 is: 749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.05 : 1,359.40 = 542.96 : x
  2. Step 2: Convert to fraction form
    985.05/1,359.40 = 542.96/x
  3. Step 3: Cross multiply
    985.05x = 1,359.40 × 542.96
  4. Step 4: Simplify right side
    985.05x = 738,091.67
  5. Step 5: Solve for x
    x = 738,091.67/985.05
  6. Step 6: Final answer
    x = 749.29

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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.