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Finding the Fourth Proportional to 1,396.35, 1,926.99 and 766.91

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Solution

The fourth proportional to 1,396.35, 1,926.99 and 766.91 is: 1,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.35 : 1,926.99 = 766.91 : x
  2. Step 2: Convert to fraction form
    1,396.35/1,926.99 = 766.91/x
  3. Step 3: Cross multiply
    1,396.35x = 1,926.99 × 766.91
  4. Step 4: Simplify right side
    1,396.35x = 1,477,816.35
  5. Step 5: Solve for x
    x = 1,477,816.35/1,396.35
  6. Step 6: Final answer
    x = 1,058.34

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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.