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Finding the Fourth Proportional to 1,228.70, 1,695.48 and 704.63

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Solution

The fourth proportional to 1,228.70, 1,695.48 and 704.63 is: 972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.70 : 1,695.48 = 704.63 : x
  2. Step 2: Convert to fraction form
    1,228.70/1,695.48 = 704.63/x
  3. Step 3: Cross multiply
    1,228.70x = 1,695.48 × 704.63
  4. Step 4: Simplify right side
    1,228.70x = 1,194,686.07
  5. Step 5: Solve for x
    x = 1,194,686.07/1,228.70
  6. Step 6: Final answer
    x = 972.32

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Half scale
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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.