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Finding the Fourth Proportional to 835.23, 1,152.72 and 711.45

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Solution

The fourth proportional to 835.23, 1,152.72 and 711.45 is: 981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.23 : 1,152.72 = 711.45 : x
  2. Step 2: Convert to fraction form
    835.23/1,152.72 = 711.45/x
  3. Step 3: Cross multiply
    835.23x = 1,152.72 × 711.45
  4. Step 4: Simplify right side
    835.23x = 820,102.64
  5. Step 5: Solve for x
    x = 820,102.64/835.23
  6. Step 6: Final answer
    x = 981.89

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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.