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Finding the Fourth Proportional to 835.99, 1,253.60 and 373.78

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Solution

The fourth proportional to 835.99, 1,253.60 and 373.78 is: 560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.99 : 1,253.60 = 373.78 : x
  2. Step 2: Convert to fraction form
    835.99/1,253.60 = 373.78/x
  3. Step 3: Cross multiply
    835.99x = 1,253.60 × 373.78
  4. Step 4: Simplify right side
    835.99x = 468,564.34
  5. Step 5: Solve for x
    x = 468,564.34/835.99
  6. Step 6: Final answer
    x = 560.49

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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.