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Finding the Fourth Proportional to 929.79, 1,284.17 and 722.48

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Solution

The fourth proportional to 929.79, 1,284.17 and 722.48 is: 997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.79 : 1,284.17 = 722.48 : x
  2. Step 2: Convert to fraction form
    929.79/1,284.17 = 722.48/x
  3. Step 3: Cross multiply
    929.79x = 1,284.17 × 722.48
  4. Step 4: Simplify right side
    929.79x = 927,777.11
  5. Step 5: Solve for x
    x = 927,777.11/929.79
  6. Step 6: Final answer
    x = 997.84

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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.