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Finding the Fourth Proportional to 985.75, 1,360.30 and 543.64

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Solution

The fourth proportional to 985.75, 1,360.30 and 543.64 is: 750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.75 : 1,360.30 = 543.64 : x
  2. Step 2: Convert to fraction form
    985.75/1,360.30 = 543.64/x
  3. Step 3: Cross multiply
    985.75x = 1,360.30 × 543.64
  4. Step 4: Simplify right side
    985.75x = 739,513.49
  5. Step 5: Solve for x
    x = 739,513.49/985.75
  6. Step 6: Final answer
    x = 750.20

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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.