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Finding the Fourth Proportional to 703.99, 1,054.87 and 374.84

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Solution

The fourth proportional to 703.99, 1,054.87 and 374.84 is: 561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.99 : 1,054.87 = 374.84 : x
  2. Step 2: Convert to fraction form
    703.99/1,054.87 = 374.84/x
  3. Step 3: Cross multiply
    703.99x = 1,054.87 × 374.84
  4. Step 4: Simplify right side
    703.99x = 395,405.92
  5. Step 5: Solve for x
    x = 395,405.92/703.99
  6. Step 6: Final answer
    x = 561.66

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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.