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Finding the Fourth Proportional to 930.02, 1,400.53 and 809.73

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Solution

The fourth proportional to 930.02, 1,400.53 and 809.73 is: 1,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.02 : 1,400.53 = 809.73 : x
  2. Step 2: Convert to fraction form
    930.02/1,400.53 = 809.73/x
  3. Step 3: Cross multiply
    930.02x = 1,400.53 × 809.73
  4. Step 4: Simplify right side
    930.02x = 1,134,051.16
  5. Step 5: Solve for x
    x = 1,134,051.16/930.02
  6. Step 6: Final answer
    x = 1,219.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.