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Finding the Fourth Proportional to 1,368.53, 1,889.21 and 927.14

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Solution

The fourth proportional to 1,368.53, 1,889.21 and 927.14 is: 1,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.53 : 1,889.21 = 927.14 : x
  2. Step 2: Convert to fraction form
    1,368.53/1,889.21 = 927.14/x
  3. Step 3: Cross multiply
    1,368.53x = 1,889.21 × 927.14
  4. Step 4: Simplify right side
    1,368.53x = 1,751,562.16
  5. Step 5: Solve for x
    x = 1,751,562.16/1,368.53
  6. Step 6: Final answer
    x = 1,279.89

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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.