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Finding the Fourth Proportional to 992.95, 1,370.87 and 620.25

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Solution

The fourth proportional to 992.95, 1,370.87 and 620.25 is: 856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.95 : 1,370.87 = 620.25 : x
  2. Step 2: Convert to fraction form
    992.95/1,370.87 = 620.25/x
  3. Step 3: Cross multiply
    992.95x = 1,370.87 × 620.25
  4. Step 4: Simplify right side
    992.95x = 850,283.67
  5. Step 5: Solve for x
    x = 850,283.67/992.95
  6. Step 6: Final answer
    x = 856.32

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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.