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Finding the Fourth Proportional to 1,331.35, 1,835.29 and 852.75

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Solution

The fourth proportional to 1,331.35, 1,835.29 and 852.75 is: 1,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.35 : 1,835.29 = 852.75 : x
  2. Step 2: Convert to fraction form
    1,331.35/1,835.29 = 852.75/x
  3. Step 3: Cross multiply
    1,331.35x = 1,835.29 × 852.75
  4. Step 4: Simplify right side
    1,331.35x = 1,565,050.27
  5. Step 5: Solve for x
    x = 1,565,050.27/1,331.35
  6. Step 6: Final answer
    x = 1,175.54

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1.5x scale

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.