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Finding the Fourth Proportional to 749.65, 1,121.81 and 457.04

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Solution

The fourth proportional to 749.65, 1,121.81 and 457.04 is: 683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.65 : 1,121.81 = 457.04 : x
  2. Step 2: Convert to fraction form
    749.65/1,121.81 = 457.04/x
  3. Step 3: Cross multiply
    749.65x = 1,121.81 × 457.04
  4. Step 4: Simplify right side
    749.65x = 512,704.15
  5. Step 5: Solve for x
    x = 512,704.15/749.65
  6. Step 6: Final answer
    x = 683.93

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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.