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Finding the Fourth Proportional to 985.82, 1,360.40 and 543.71

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Solution

The fourth proportional to 985.82, 1,360.40 and 543.71 is: 750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.82 : 1,360.40 = 543.71 : x
  2. Step 2: Convert to fraction form
    985.82/1,360.40 = 543.71/x
  3. Step 3: Cross multiply
    985.82x = 1,360.40 × 543.71
  4. Step 4: Simplify right side
    985.82x = 739,663.77
  5. Step 5: Solve for x
    x = 739,663.77/985.82
  6. Step 6: Final answer
    x = 750.30

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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.