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Finding the Fourth Proportional to 1,645, 2,270.48 and 1,085.58

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Solution

The fourth proportional to 1,645, 2,270.48 and 1,085.58 is: 1,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645 : 2,270.48 = 1,085.58 : x
  2. Step 2: Convert to fraction form
    1,645/2,270.48 = 1,085.58/x
  3. Step 3: Cross multiply
    1,645x = 2,270.48 × 1,085.58
  4. Step 4: Simplify right side
    1,645x = 2,464,787.68
  5. Step 5: Solve for x
    x = 2,464,787.68/1,645
  6. Step 6: Final answer
    x = 1,498.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.