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Finding the Fourth Proportional to 929.78, 1,393.35 and 684.38

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Solution

The fourth proportional to 929.78, 1,393.35 and 684.38 is: 1,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.78 : 1,393.35 = 684.38 : x
  2. Step 2: Convert to fraction form
    929.78/1,393.35 = 684.38/x
  3. Step 3: Cross multiply
    929.78x = 1,393.35 × 684.38
  4. Step 4: Simplify right side
    929.78x = 953,580.87
  5. Step 5: Solve for x
    x = 953,580.87/929.78
  6. Step 6: Final answer
    x = 1,025.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.