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Finding the Fourth Proportional to 1,653.37, 2,477.75 and 774.93

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Solution

The fourth proportional to 1,653.37, 2,477.75 and 774.93 is: 1,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.37 : 2,477.75 = 774.93 : x
  2. Step 2: Convert to fraction form
    1,653.37/2,477.75 = 774.93/x
  3. Step 3: Cross multiply
    1,653.37x = 2,477.75 × 774.93
  4. Step 4: Simplify right side
    1,653.37x = 1,920,078.93
  5. Step 5: Solve for x
    x = 1,920,078.93/1,653.37
  6. Step 6: Final answer
    x = 1,161.31

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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.