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Finding the Fourth Proportional to 973.42, 1,453.07 and 837.34

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Solution

The fourth proportional to 973.42, 1,453.07 and 837.34 is: 1,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.42 : 1,453.07 = 837.34 : x
  2. Step 2: Convert to fraction form
    973.42/1,453.07 = 837.34/x
  3. Step 3: Cross multiply
    973.42x = 1,453.07 × 837.34
  4. Step 4: Simplify right side
    973.42x = 1,216,713.63
  5. Step 5: Solve for x
    x = 1,216,713.63/973.42
  6. Step 6: Final answer
    x = 1,249.94

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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.