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Finding the Fourth Proportional to 835.60, 1,152.52 and 602.32

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Solution

The fourth proportional to 835.60, 1,152.52 and 602.32 is: 830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.60 : 1,152.52 = 602.32 : x
  2. Step 2: Convert to fraction form
    835.60/1,152.52 = 602.32/x
  3. Step 3: Cross multiply
    835.60x = 1,152.52 × 602.32
  4. Step 4: Simplify right side
    835.60x = 694,185.85
  5. Step 5: Solve for x
    x = 694,185.85/835.60
  6. Step 6: Final answer
    x = 830.76

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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.