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Finding the Fourth Proportional to 1,225.85, 1,690.25 and 894.42

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Solution

The fourth proportional to 1,225.85, 1,690.25 and 894.42 is: 1,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.85 : 1,690.25 = 894.42 : x
  2. Step 2: Convert to fraction form
    1,225.85/1,690.25 = 894.42/x
  3. Step 3: Cross multiply
    1,225.85x = 1,690.25 × 894.42
  4. Step 4: Simplify right side
    1,225.85x = 1,511,788.93
  5. Step 5: Solve for x
    x = 1,511,788.93/1,225.85
  6. Step 6: Final answer
    x = 1,233.26

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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.