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Finding the Fourth Proportional to 1,225.06, 1,837.54 and 853.80

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Solution

The fourth proportional to 1,225.06, 1,837.54 and 853.80 is: 1,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.06 : 1,837.54 = 853.80 : x
  2. Step 2: Convert to fraction form
    1,225.06/1,837.54 = 853.80/x
  3. Step 3: Cross multiply
    1,225.06x = 1,837.54 × 853.80
  4. Step 4: Simplify right side
    1,225.06x = 1,568,893.95
  5. Step 5: Solve for x
    x = 1,568,893.95/1,225.06
  6. Step 6: Final answer
    x = 1,280.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.