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Finding the Fourth Proportional to 703.84, 1,053.50 and 374.32

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Solution

The fourth proportional to 703.84, 1,053.50 and 374.32 is: 560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.84 : 1,053.50 = 374.32 : x
  2. Step 2: Convert to fraction form
    703.84/1,053.50 = 374.32/x
  3. Step 3: Cross multiply
    703.84x = 1,053.50 × 374.32
  4. Step 4: Simplify right side
    703.84x = 394,346.12
  5. Step 5: Solve for x
    x = 394,346.12/703.84
  6. Step 6: Final answer
    x = 560.28

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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.