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Finding the Fourth Proportional to 704.51, 1,056.99 and 314.46

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Solution

The fourth proportional to 704.51, 1,056.99 and 314.46 is: 471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.51 : 1,056.99 = 314.46 : x
  2. Step 2: Convert to fraction form
    704.51/1,056.99 = 314.46/x
  3. Step 3: Cross multiply
    704.51x = 1,056.99 × 314.46
  4. Step 4: Simplify right side
    704.51x = 332,381.08
  5. Step 5: Solve for x
    x = 332,381.08/704.51
  6. Step 6: Final answer
    x = 471.79

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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.