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Finding the Fourth Proportional to 929.95, 1,393.85 and 684.20

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Solution

The fourth proportional to 929.95, 1,393.85 and 684.20 is: 1,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.95 : 1,393.85 = 684.20 : x
  2. Step 2: Convert to fraction form
    929.95/1,393.85 = 684.20/x
  3. Step 3: Cross multiply
    929.95x = 1,393.85 × 684.20
  4. Step 4: Simplify right side
    929.95x = 953,661.78
  5. Step 5: Solve for x
    x = 953,661.78/929.95
  6. Step 6: Final answer
    x = 1,025.50

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Why These Related Problems?

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