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Finding the Fourth Proportional to 1,395.77, 1,926.16 and 766.29

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Solution

The fourth proportional to 1,395.77, 1,926.16 and 766.29 is: 1,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.77 : 1,926.16 = 766.29 : x
  2. Step 2: Convert to fraction form
    1,395.77/1,926.16 = 766.29/x
  3. Step 3: Cross multiply
    1,395.77x = 1,926.16 × 766.29
  4. Step 4: Simplify right side
    1,395.77x = 1,476,000.05
  5. Step 5: Solve for x
    x = 1,476,000.05/1,395.77
  6. Step 6: Final answer
    x = 1,057.48

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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.