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Finding the Fourth Proportional to 904.02, 1,354.17 and 697.86

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Solution

The fourth proportional to 904.02, 1,354.17 and 697.86 is: 1,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.02 : 1,354.17 = 697.86 : x
  2. Step 2: Convert to fraction form
    904.02/1,354.17 = 697.86/x
  3. Step 3: Cross multiply
    904.02x = 1,354.17 × 697.86
  4. Step 4: Simplify right side
    904.02x = 945,021.08
  5. Step 5: Solve for x
    x = 945,021.08/904.02
  6. Step 6: Final answer
    x = 1,045.35

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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.