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Finding the Fourth Proportional to 673.65, 1,011.24 and 381.15

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Solution

The fourth proportional to 673.65, 1,011.24 and 381.15 is: 572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.65 : 1,011.24 = 381.15 : x
  2. Step 2: Convert to fraction form
    673.65/1,011.24 = 381.15/x
  3. Step 3: Cross multiply
    673.65x = 1,011.24 × 381.15
  4. Step 4: Simplify right side
    673.65x = 385,434.13
  5. Step 5: Solve for x
    x = 385,434.13/673.65
  6. Step 6: Final answer
    x = 572.16

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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.