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Finding the Fourth Proportional to 684.75, 1,027.53 and 294.74

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Solution

The fourth proportional to 684.75, 1,027.53 and 294.74 is: 442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.75 : 1,027.53 = 294.74 : x
  2. Step 2: Convert to fraction form
    684.75/1,027.53 = 294.74/x
  3. Step 3: Cross multiply
    684.75x = 1,027.53 × 294.74
  4. Step 4: Simplify right side
    684.75x = 302,854.19
  5. Step 5: Solve for x
    x = 302,854.19/684.75
  6. Step 6: Final answer
    x = 442.28

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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.