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Finding the Fourth Proportional to 684.64, 1,024.80 and 538.72

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Solution

The fourth proportional to 684.64, 1,024.80 and 538.72 is: 806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.64 : 1,024.80 = 538.72 : x
  2. Step 2: Convert to fraction form
    684.64/1,024.80 = 538.72/x
  3. Step 3: Cross multiply
    684.64x = 1,024.80 × 538.72
  4. Step 4: Simplify right side
    684.64x = 552,080.26
  5. Step 5: Solve for x
    x = 552,080.26/684.64
  6. Step 6: Final answer
    x = 806.38

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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.