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Finding the Fourth Proportional to 985.57, 1,360.09 and 543.47

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Solution

The fourth proportional to 985.57, 1,360.09 and 543.47 is: 749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.57 : 1,360.09 = 543.47 : x
  2. Step 2: Convert to fraction form
    985.57/1,360.09 = 543.47/x
  3. Step 3: Cross multiply
    985.57x = 1,360.09 × 543.47
  4. Step 4: Simplify right side
    985.57x = 739,168.11
  5. Step 5: Solve for x
    x = 739,168.11/985.57
  6. Step 6: Final answer
    x = 749.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.