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Finding the Fourth Proportional to 1,228.44, 1,695.36 and 704.58

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Solution

The fourth proportional to 1,228.44, 1,695.36 and 704.58 is: 972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.44 : 1,695.36 = 704.58 : x
  2. Step 2: Convert to fraction form
    1,228.44/1,695.36 = 704.58/x
  3. Step 3: Cross multiply
    1,228.44x = 1,695.36 × 704.58
  4. Step 4: Simplify right side
    1,228.44x = 1,194,516.75
  5. Step 5: Solve for x
    x = 1,194,516.75/1,228.44
  6. Step 6: Final answer
    x = 972.39

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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.