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Finding the Fourth Proportional to 1,698.90, 2,548.74 and 774.72

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Solution

The fourth proportional to 1,698.90, 2,548.74 and 774.72 is: 1,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.90 : 2,548.74 = 774.72 : x
  2. Step 2: Convert to fraction form
    1,698.90/2,548.74 = 774.72/x
  3. Step 3: Cross multiply
    1,698.90x = 2,548.74 × 774.72
  4. Step 4: Simplify right side
    1,698.90x = 1,974,559.85
  5. Step 5: Solve for x
    x = 1,974,559.85/1,698.90
  6. Step 6: Final answer
    x = 1,162.26

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1.5x scale

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.