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Finding the Fourth Proportional to 992.06, 1,486.44 and 606.50

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Solution

The fourth proportional to 992.06, 1,486.44 and 606.50 is: 908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.06 : 1,486.44 = 606.50 : x
  2. Step 2: Convert to fraction form
    992.06/1,486.44 = 606.50/x
  3. Step 3: Cross multiply
    992.06x = 1,486.44 × 606.50
  4. Step 4: Simplify right side
    992.06x = 901,525.86
  5. Step 5: Solve for x
    x = 901,525.86/992.06
  6. Step 6: Final answer
    x = 908.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.