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Finding the Fourth Proportional to 985.68, 1,360.25 and 543.58

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Solution

The fourth proportional to 985.68, 1,360.25 and 543.58 is: 750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.68 : 1,360.25 = 543.58 : x
  2. Step 2: Convert to fraction form
    985.68/1,360.25 = 543.58/x
  3. Step 3: Cross multiply
    985.68x = 1,360.25 × 543.58
  4. Step 4: Simplify right side
    985.68x = 739,400.61
  5. Step 5: Solve for x
    x = 739,400.61/985.68
  6. Step 6: Final answer
    x = 750.14

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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.