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Finding the Fourth Proportional to 703.69, 1,053.55 and 394.99

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Solution

The fourth proportional to 703.69, 1,053.55 and 394.99 is: 591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.69 : 1,053.55 = 394.99 : x
  2. Step 2: Convert to fraction form
    703.69/1,053.55 = 394.99/x
  3. Step 3: Cross multiply
    703.69x = 1,053.55 × 394.99
  4. Step 4: Simplify right side
    703.69x = 416,141.71
  5. Step 5: Solve for x
    x = 416,141.71/703.69
  6. Step 6: Final answer
    x = 591.37

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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.