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Finding the Fourth Proportional to 973.64, 1,347.06 and 937.64

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Solution

The fourth proportional to 973.64, 1,347.06 and 937.64 is: 1,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.64 : 1,347.06 = 937.64 : x
  2. Step 2: Convert to fraction form
    973.64/1,347.06 = 937.64/x
  3. Step 3: Cross multiply
    973.64x = 1,347.06 × 937.64
  4. Step 4: Simplify right side
    973.64x = 1,263,057.34
  5. Step 5: Solve for x
    x = 1,263,057.34/973.64
  6. Step 6: Final answer
    x = 1,297.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.