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Finding the Fourth Proportional to 835.23, 1,152.56 and 499.13

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Solution

The fourth proportional to 835.23, 1,152.56 and 499.13 is: 688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.23 : 1,152.56 = 499.13 : x
  2. Step 2: Convert to fraction form
    835.23/1,152.56 = 499.13/x
  3. Step 3: Cross multiply
    835.23x = 1,152.56 × 499.13
  4. Step 4: Simplify right side
    835.23x = 575,277.27
  5. Step 5: Solve for x
    x = 575,277.27/835.23
  6. Step 6: Final answer
    x = 688.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.