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Finding the Fourth Proportional to 1,224.99, 1,837.96 and 967.68

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Solution

The fourth proportional to 1,224.99, 1,837.96 and 967.68 is: 1,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.99 : 1,837.96 = 967.68 : x
  2. Step 2: Convert to fraction form
    1,224.99/1,837.96 = 967.68/x
  3. Step 3: Cross multiply
    1,224.99x = 1,837.96 × 967.68
  4. Step 4: Simplify right side
    1,224.99x = 1,778,554.71
  5. Step 5: Solve for x
    x = 1,778,554.71/1,224.99
  6. Step 6: Final answer
    x = 1,451.89

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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.