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Finding the Fourth Proportional to 835.35, 1,152.03 and 569.67

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Solution

The fourth proportional to 835.35, 1,152.03 and 569.67 is: 785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.35 : 1,152.03 = 569.67 : x
  2. Step 2: Convert to fraction form
    835.35/1,152.03 = 569.67/x
  3. Step 3: Cross multiply
    835.35x = 1,152.03 × 569.67
  4. Step 4: Simplify right side
    835.35x = 656,276.93
  5. Step 5: Solve for x
    x = 656,276.93/835.35
  6. Step 6: Final answer
    x = 785.63

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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.