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Finding the Fourth Proportional to 904.46, 1,357.50 and 846.14

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Solution

The fourth proportional to 904.46, 1,357.50 and 846.14 is: 1,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.46 : 1,357.50 = 846.14 : x
  2. Step 2: Convert to fraction form
    904.46/1,357.50 = 846.14/x
  3. Step 3: Cross multiply
    904.46x = 1,357.50 × 846.14
  4. Step 4: Simplify right side
    904.46x = 1,148,635.05
  5. Step 5: Solve for x
    x = 1,148,635.05/904.46
  6. Step 6: Final answer
    x = 1,269.97

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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.