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Finding the Fourth Proportional to 703.60, 1,054.89 and 374.32

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Solution

The fourth proportional to 703.60, 1,054.89 and 374.32 is: 561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.60 : 1,054.89 = 374.32 : x
  2. Step 2: Convert to fraction form
    703.60/1,054.89 = 374.32/x
  3. Step 3: Cross multiply
    703.60x = 1,054.89 × 374.32
  4. Step 4: Simplify right side
    703.60x = 394,866.42
  5. Step 5: Solve for x
    x = 394,866.42/703.60
  6. Step 6: Final answer
    x = 561.21

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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.