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Finding the Fourth Proportional to 704.12, 1,054.82 and 429.53

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Solution

The fourth proportional to 704.12, 1,054.82 and 429.53 is: 643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.12 : 1,054.82 = 429.53 : x
  2. Step 2: Convert to fraction form
    704.12/1,054.82 = 429.53/x
  3. Step 3: Cross multiply
    704.12x = 1,054.82 × 429.53
  4. Step 4: Simplify right side
    704.12x = 453,072.63
  5. Step 5: Solve for x
    x = 453,072.63/704.12
  6. Step 6: Final answer
    x = 643.46

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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.