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Finding the Fourth Proportional to 703.08, 1,052.10 and 429.24

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Solution

The fourth proportional to 703.08, 1,052.10 and 429.24 is: 642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.08 : 1,052.10 = 429.24 : x
  2. Step 2: Convert to fraction form
    703.08/1,052.10 = 429.24/x
  3. Step 3: Cross multiply
    703.08x = 1,052.10 × 429.24
  4. Step 4: Simplify right side
    703.08x = 451,603.40
  5. Step 5: Solve for x
    x = 451,603.40/703.08
  6. Step 6: Final answer
    x = 642.32

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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.