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Finding the Fourth Proportional to 904.67, 1,354.90 and 697.60

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Solution

The fourth proportional to 904.67, 1,354.90 and 697.60 is: 1,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.67 : 1,354.90 = 697.60 : x
  2. Step 2: Convert to fraction form
    904.67/1,354.90 = 697.60/x
  3. Step 3: Cross multiply
    904.67x = 1,354.90 × 697.60
  4. Step 4: Simplify right side
    904.67x = 945,178.24
  5. Step 5: Solve for x
    x = 945,178.24/904.67
  6. Step 6: Final answer
    x = 1,044.78

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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.