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Finding the Fourth Proportional to 1,212.03, 1,814.27 and 795.08

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Solution

The fourth proportional to 1,212.03, 1,814.27 and 795.08 is: 1,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.03 : 1,814.27 = 795.08 : x
  2. Step 2: Convert to fraction form
    1,212.03/1,814.27 = 795.08/x
  3. Step 3: Cross multiply
    1,212.03x = 1,814.27 × 795.08
  4. Step 4: Simplify right side
    1,212.03x = 1,442,490.35
  5. Step 5: Solve for x
    x = 1,442,490.35/1,212.03
  6. Step 6: Final answer
    x = 1,190.14

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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.