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Finding the Fourth Proportional to 740.93, 1,111.32 and 193.07

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Solution

The fourth proportional to 740.93, 1,111.32 and 193.07 is: 289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.93 : 1,111.32 = 193.07 : x
  2. Step 2: Convert to fraction form
    740.93/1,111.32 = 193.07/x
  3. Step 3: Cross multiply
    740.93x = 1,111.32 × 193.07
  4. Step 4: Simplify right side
    740.93x = 214,565.33
  5. Step 5: Solve for x
    x = 214,565.33/740.93
  6. Step 6: Final answer
    x = 289.59

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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.