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Finding the Fourth Proportional to 968.37, 1,337.66 and 761.19

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Solution

The fourth proportional to 968.37, 1,337.66 and 761.19 is: 1,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.37 : 1,337.66 = 761.19 : x
  2. Step 2: Convert to fraction form
    968.37/1,337.66 = 761.19/x
  3. Step 3: Cross multiply
    968.37x = 1,337.66 × 761.19
  4. Step 4: Simplify right side
    968.37x = 1,018,213.42
  5. Step 5: Solve for x
    x = 1,018,213.42/968.37
  6. Step 6: Final answer
    x = 1,051.47

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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.