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Finding the Fourth Proportional to 1,173.34, 1,759.89 and 307.65

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Solution

The fourth proportional to 1,173.34, 1,759.89 and 307.65 is: 461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.34 : 1,759.89 = 307.65 : x
  2. Step 2: Convert to fraction form
    1,173.34/1,759.89 = 307.65/x
  3. Step 3: Cross multiply
    1,173.34x = 1,759.89 × 307.65
  4. Step 4: Simplify right side
    1,173.34x = 541,430.16
  5. Step 5: Solve for x
    x = 541,430.16/1,173.34
  6. Step 6: Final answer
    x = 461.44

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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.