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Finding the Fourth Proportional to 1,225.12, 1,689.84 and 852.16

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Solution

The fourth proportional to 1,225.12, 1,689.84 and 852.16 is: 1,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.12 : 1,689.84 = 852.16 : x
  2. Step 2: Convert to fraction form
    1,225.12/1,689.84 = 852.16/x
  3. Step 3: Cross multiply
    1,225.12x = 1,689.84 × 852.16
  4. Step 4: Simplify right side
    1,225.12x = 1,440,014.05
  5. Step 5: Solve for x
    x = 1,440,014.05/1,225.12
  6. Step 6: Final answer
    x = 1,175.41

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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.