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Finding the Fourth Proportional to 985.96, 1,480.29 and 619.66

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Solution

The fourth proportional to 985.96, 1,480.29 and 619.66 is: 930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.96 : 1,480.29 = 619.66 : x
  2. Step 2: Convert to fraction form
    985.96/1,480.29 = 619.66/x
  3. Step 3: Cross multiply
    985.96x = 1,480.29 × 619.66
  4. Step 4: Simplify right side
    985.96x = 917,276.50
  5. Step 5: Solve for x
    x = 917,276.50/985.96
  6. Step 6: Final answer
    x = 930.34

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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.