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Finding the Fourth Proportional to 1,173.15, 1,759.64 and 307.44

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Solution

The fourth proportional to 1,173.15, 1,759.64 and 307.44 is: 461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.15 : 1,759.64 = 307.44 : x
  2. Step 2: Convert to fraction form
    1,173.15/1,759.64 = 307.44/x
  3. Step 3: Cross multiply
    1,173.15x = 1,759.64 × 307.44
  4. Step 4: Simplify right side
    1,173.15x = 540,982.18
  5. Step 5: Solve for x
    x = 540,982.18/1,173.15
  6. Step 6: Final answer
    x = 461.14

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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.