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Finding the Fourth Proportional to 1,392, 2,088.48 and 774.96

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Solution

The fourth proportional to 1,392, 2,088.48 and 774.96 is: 1,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392 : 2,088.48 = 774.96 : x
  2. Step 2: Convert to fraction form
    1,392/2,088.48 = 774.96/x
  3. Step 3: Cross multiply
    1,392x = 2,088.48 × 774.96
  4. Step 4: Simplify right side
    1,392x = 1,618,488.46
  5. Step 5: Solve for x
    x = 1,618,488.46/1,392
  6. Step 6: Final answer
    x = 1,162.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.