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Finding the Fourth Proportional to 835.47, 1,253.65 and 373.23

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Solution

The fourth proportional to 835.47, 1,253.65 and 373.23 is: 560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.47 : 1,253.65 = 373.23 : x
  2. Step 2: Convert to fraction form
    835.47/1,253.65 = 373.23/x
  3. Step 3: Cross multiply
    835.47x = 1,253.65 × 373.23
  4. Step 4: Simplify right side
    835.47x = 467,893.52
  5. Step 5: Solve for x
    x = 467,893.52/835.47
  6. Step 6: Final answer
    x = 560.04

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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.