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Finding the Fourth Proportional to 704.47, 1,056.67 and 417.73

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Solution

The fourth proportional to 704.47, 1,056.67 and 417.73 is: 626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.47 : 1,056.67 = 417.73 : x
  2. Step 2: Convert to fraction form
    704.47/1,056.67 = 417.73/x
  3. Step 3: Cross multiply
    704.47x = 1,056.67 × 417.73
  4. Step 4: Simplify right side
    704.47x = 441,402.76
  5. Step 5: Solve for x
    x = 441,402.76/704.47
  6. Step 6: Final answer
    x = 626.57

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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.