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Finding the Fourth Proportional to 740.83, 1,110.49 and 253.62

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Solution

The fourth proportional to 740.83, 1,110.49 and 253.62 is: 380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.83 : 1,110.49 = 253.62 : x
  2. Step 2: Convert to fraction form
    740.83/1,110.49 = 253.62/x
  3. Step 3: Cross multiply
    740.83x = 1,110.49 × 253.62
  4. Step 4: Simplify right side
    740.83x = 281,642.47
  5. Step 5: Solve for x
    x = 281,642.47/740.83
  6. Step 6: Final answer
    x = 380.17

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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.