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Finding the Fourth Proportional to 1,376.44, 1,899.84 and 852.16

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Solution

The fourth proportional to 1,376.44, 1,899.84 and 852.16 is: 1,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.44 : 1,899.84 = 852.16 : x
  2. Step 2: Convert to fraction form
    1,376.44/1,899.84 = 852.16/x
  3. Step 3: Cross multiply
    1,376.44x = 1,899.84 × 852.16
  4. Step 4: Simplify right side
    1,376.44x = 1,618,967.65
  5. Step 5: Solve for x
    x = 1,618,967.65/1,376.44
  6. Step 6: Final answer
    x = 1,176.20

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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.