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Finding the Fourth Proportional to 684.58, 1,026.98 and 410.29

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Solution

The fourth proportional to 684.58, 1,026.98 and 410.29 is: 615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.58 : 1,026.98 = 410.29 : x
  2. Step 2: Convert to fraction form
    684.58/1,026.98 = 410.29/x
  3. Step 3: Cross multiply
    684.58x = 1,026.98 × 410.29
  4. Step 4: Simplify right side
    684.58x = 421,359.43
  5. Step 5: Solve for x
    x = 421,359.43/684.58
  6. Step 6: Final answer
    x = 615.50

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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.