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Finding the Fourth Proportional to 723.15, 1,084.59 and 357.75

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Solution

The fourth proportional to 723.15, 1,084.59 and 357.75 is: 536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.15 : 1,084.59 = 357.75 : x
  2. Step 2: Convert to fraction form
    723.15/1,084.59 = 357.75/x
  3. Step 3: Cross multiply
    723.15x = 1,084.59 × 357.75
  4. Step 4: Simplify right side
    723.15x = 388,012.07
  5. Step 5: Solve for x
    x = 388,012.07/723.15
  6. Step 6: Final answer
    x = 536.56

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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.