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Finding the Fourth Proportional to 930.60, 1,284.06 and 598.96

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Solution

The fourth proportional to 930.60, 1,284.06 and 598.96 is: 826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.60 : 1,284.06 = 598.96 : x
  2. Step 2: Convert to fraction form
    930.60/1,284.06 = 598.96/x
  3. Step 3: Cross multiply
    930.60x = 1,284.06 × 598.96
  4. Step 4: Simplify right side
    930.60x = 769,100.58
  5. Step 5: Solve for x
    x = 769,100.58/930.60
  6. Step 6: Final answer
    x = 826.46

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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.