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Finding the Fourth Proportional to 904.69, 1,349.09 and 854.67

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Solution

The fourth proportional to 904.69, 1,349.09 and 854.67 is: 1,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.69 : 1,349.09 = 854.67 : x
  2. Step 2: Convert to fraction form
    904.69/1,349.09 = 854.67/x
  3. Step 3: Cross multiply
    904.69x = 1,349.09 × 854.67
  4. Step 4: Simplify right side
    904.69x = 1,153,026.75
  5. Step 5: Solve for x
    x = 1,153,026.75/904.69
  6. Step 6: Final answer
    x = 1,274.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.