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Finding the Fourth Proportional to 684.54, 944.19 and 580.32

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Solution

The fourth proportional to 684.54, 944.19 and 580.32 is: 800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.54 : 944.19 = 580.32 : x
  2. Step 2: Convert to fraction form
    684.54/944.19 = 580.32/x
  3. Step 3: Cross multiply
    684.54x = 944.19 × 580.32
  4. Step 4: Simplify right side
    684.54x = 547,932.34
  5. Step 5: Solve for x
    x = 547,932.34/684.54
  6. Step 6: Final answer
    x = 800.44

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1.5x scale

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.