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Finding the Fourth Proportional to 985.89, 1,360.53 and 543.82

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Solution

The fourth proportional to 985.89, 1,360.53 and 543.82 is: 750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.89 : 1,360.53 = 543.82 : x
  2. Step 2: Convert to fraction form
    985.89/1,360.53 = 543.82/x
  3. Step 3: Cross multiply
    985.89x = 1,360.53 × 543.82
  4. Step 4: Simplify right side
    985.89x = 739,883.42
  5. Step 5: Solve for x
    x = 739,883.42/985.89
  6. Step 6: Final answer
    x = 750.47

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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.