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Finding the Fourth Proportional to 704.06, 1,056.27 and 334.00

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Solution

The fourth proportional to 704.06, 1,056.27 and 334.00 is: 501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.06 : 1,056.27 = 334.00 : x
  2. Step 2: Convert to fraction form
    704.06/1,056.27 = 334.00/x
  3. Step 3: Cross multiply
    704.06x = 1,056.27 × 334.00
  4. Step 4: Simplify right side
    704.06x = 352,790.81
  5. Step 5: Solve for x
    x = 352,790.81/704.06
  6. Step 6: Final answer
    x = 501.08

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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.