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Finding the Fourth Proportional to 985.23, 1,359.64 and 543.14

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Solution

The fourth proportional to 985.23, 1,359.64 and 543.14 is: 749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.23 : 1,359.64 = 543.14 : x
  2. Step 2: Convert to fraction form
    985.23/1,359.64 = 543.14/x
  3. Step 3: Cross multiply
    985.23x = 1,359.64 × 543.14
  4. Step 4: Simplify right side
    985.23x = 738,470.79
  5. Step 5: Solve for x
    x = 738,470.79/985.23
  6. Step 6: Final answer
    x = 749.54

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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.