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Finding the Fourth Proportional to 704.22, 972.77 and 654.94

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Solution

The fourth proportional to 704.22, 972.77 and 654.94 is: 904.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.22 : 972.77 = 654.94 : x
  2. Step 2: Convert to fraction form
    704.22/972.77 = 654.94/x
  3. Step 3: Cross multiply
    704.22x = 972.77 × 654.94
  4. Step 4: Simplify right side
    704.22x = 637,105.98
  5. Step 5: Solve for x
    x = 637,105.98/704.22
  6. Step 6: Final answer
    x = 904.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.