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Finding the Fourth Proportional to 835.07, 1,252.34 and 348

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Solution

The fourth proportional to 835.07, 1,252.34 and 348 is: 521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.07 : 1,252.34 = 348 : x
  2. Step 2: Convert to fraction form
    835.07/1,252.34 = 348/x
  3. Step 3: Cross multiply
    835.07x = 1,252.34 × 348
  4. Step 4: Simplify right side
    835.07x = 435,812.58
  5. Step 5: Solve for x
    x = 435,812.58/835.07
  6. Step 6: Final answer
    x = 521.89

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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.