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Finding the Fourth Proportional to 704.14, 1,056.84 and 375.35

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Solution

The fourth proportional to 704.14, 1,056.84 and 375.35 is: 563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.14 : 1,056.84 = 375.35 : x
  2. Step 2: Convert to fraction form
    704.14/1,056.84 = 375.35/x
  3. Step 3: Cross multiply
    704.14x = 1,056.84 × 375.35
  4. Step 4: Simplify right side
    704.14x = 396,686.79
  5. Step 5: Solve for x
    x = 396,686.79/704.14
  6. Step 6: Final answer
    x = 563.37

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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.