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Finding the Fourth Proportional to 973.36, 1,459.32 and 838

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Solution

The fourth proportional to 973.36, 1,459.32 and 838 is: 1,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.36 : 1,459.32 = 838 : x
  2. Step 2: Convert to fraction form
    973.36/1,459.32 = 838/x
  3. Step 3: Cross multiply
    973.36x = 1,459.32 × 838
  4. Step 4: Simplify right side
    973.36x = 1,222,910.16
  5. Step 5: Solve for x
    x = 1,222,910.16/973.36
  6. Step 6: Final answer
    x = 1,256.38

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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.