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Finding the Fourth Proportional to 1,597.61, 2,394.09 and 774.96

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Solution

The fourth proportional to 1,597.61, 2,394.09 and 774.96 is: 1,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.61 : 2,394.09 = 774.96 : x
  2. Step 2: Convert to fraction form
    1,597.61/2,394.09 = 774.96/x
  3. Step 3: Cross multiply
    1,597.61x = 2,394.09 × 774.96
  4. Step 4: Simplify right side
    1,597.61x = 1,855,323.99
  5. Step 5: Solve for x
    x = 1,855,323.99/1,597.61
  6. Step 6: Final answer
    x = 1,161.31

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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.