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Finding the Fourth Proportional to 684.59, 1,026.87 and 319.17

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Solution

The fourth proportional to 684.59, 1,026.87 and 319.17 is: 478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.59 : 1,026.87 = 319.17 : x
  2. Step 2: Convert to fraction form
    684.59/1,026.87 = 319.17/x
  3. Step 3: Cross multiply
    684.59x = 1,026.87 × 319.17
  4. Step 4: Simplify right side
    684.59x = 327,746.10
  5. Step 5: Solve for x
    x = 327,746.10/684.59
  6. Step 6: Final answer
    x = 478.75

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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.