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Finding the Fourth Proportional to 1,594.25, 2,391.38 and 440

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Solution

The fourth proportional to 1,594.25, 2,391.38 and 440 is: 660

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.25 : 2,391.38 = 440 : x
  2. Step 2: Convert to fraction form
    1,594.25/2,391.38 = 440/x
  3. Step 3: Cross multiply
    1,594.25x = 2,391.38 × 440
  4. Step 4: Simplify right side
    1,594.25x = 1,052,205
  5. Step 5: Solve for x
    x = 1,052,205/1,594.25
  6. Step 6: Final answer
    x = 660

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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.