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Finding the Fourth Proportional to 780.93, 1,171.62 and 348.18

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Solution

The fourth proportional to 780.93, 1,171.62 and 348.18 is: 522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.93 : 1,171.62 = 348.18 : x
  2. Step 2: Convert to fraction form
    780.93/1,171.62 = 348.18/x
  3. Step 3: Cross multiply
    780.93x = 1,171.62 × 348.18
  4. Step 4: Simplify right side
    780.93x = 407,934.65
  5. Step 5: Solve for x
    x = 407,934.65/780.93
  6. Step 6: Final answer
    x = 522.37

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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.