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Finding the Fourth Proportional to 985.88, 1,360.50 and 537.74

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Solution

The fourth proportional to 985.88, 1,360.50 and 537.74 is: 742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.88 : 1,360.50 = 537.74 : x
  2. Step 2: Convert to fraction form
    985.88/1,360.50 = 537.74/x
  3. Step 3: Cross multiply
    985.88x = 1,360.50 × 537.74
  4. Step 4: Simplify right side
    985.88x = 731,595.27
  5. Step 5: Solve for x
    x = 731,595.27/985.88
  6. Step 6: Final answer
    x = 742.07

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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.