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Finding the Fourth Proportional to 1,205.64, 1,805.94 and 770.58

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Solution

The fourth proportional to 1,205.64, 1,805.94 and 770.58 is: 1,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.64 : 1,805.94 = 770.58 : x
  2. Step 2: Convert to fraction form
    1,205.64/1,805.94 = 770.58/x
  3. Step 3: Cross multiply
    1,205.64x = 1,805.94 × 770.58
  4. Step 4: Simplify right side
    1,205.64x = 1,391,621.25
  5. Step 5: Solve for x
    x = 1,391,621.25/1,205.64
  6. Step 6: Final answer
    x = 1,154.26

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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.