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Finding the Fourth Proportional to 835.64, 1,152.66 and 525.32

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Solution

The fourth proportional to 835.64, 1,152.66 and 525.32 is: 724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.64 : 1,152.66 = 525.32 : x
  2. Step 2: Convert to fraction form
    835.64/1,152.66 = 525.32/x
  3. Step 3: Cross multiply
    835.64x = 1,152.66 × 525.32
  4. Step 4: Simplify right side
    835.64x = 605,515.35
  5. Step 5: Solve for x
    x = 605,515.35/835.64
  6. Step 6: Final answer
    x = 724.61

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