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Finding the Fourth Proportional to 703.24, 1,051.98 and 429.32

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Solution

The fourth proportional to 703.24, 1,051.98 and 429.32 is: 642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.24 : 1,051.98 = 429.32 : x
  2. Step 2: Convert to fraction form
    703.24/1,051.98 = 429.32/x
  3. Step 3: Cross multiply
    703.24x = 1,051.98 × 429.32
  4. Step 4: Simplify right side
    703.24x = 451,636.05
  5. Step 5: Solve for x
    x = 451,636.05/703.24
  6. Step 6: Final answer
    x = 642.22

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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.