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Finding the Fourth Proportional to 900.73, 1,349.74 and 808.93

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Solution

The fourth proportional to 900.73, 1,349.74 and 808.93 is: 1,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.73 : 1,349.74 = 808.93 : x
  2. Step 2: Convert to fraction form
    900.73/1,349.74 = 808.93/x
  3. Step 3: Cross multiply
    900.73x = 1,349.74 × 808.93
  4. Step 4: Simplify right side
    900.73x = 1,091,845.18
  5. Step 5: Solve for x
    x = 1,091,845.18/900.73
  6. Step 6: Final answer
    x = 1,212.18

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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.