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Finding the Fourth Proportional to 985.67, 1,360.19 and 543.54

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Solution

The fourth proportional to 985.67, 1,360.19 and 543.54 is: 750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.67 : 1,360.19 = 543.54 : x
  2. Step 2: Convert to fraction form
    985.67/1,360.19 = 543.54/x
  3. Step 3: Cross multiply
    985.67x = 1,360.19 × 543.54
  4. Step 4: Simplify right side
    985.67x = 739,324.13
  5. Step 5: Solve for x
    x = 739,324.13/985.67
  6. Step 6: Final answer
    x = 750.07

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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.