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Finding the Fourth Proportional to 684.34, 1,026.86 and 294.52

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Solution

The fourth proportional to 684.34, 1,026.86 and 294.52 is: 441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.34 : 1,026.86 = 294.52 : x
  2. Step 2: Convert to fraction form
    684.34/1,026.86 = 294.52/x
  3. Step 3: Cross multiply
    684.34x = 1,026.86 × 294.52
  4. Step 4: Simplify right side
    684.34x = 302,430.81
  5. Step 5: Solve for x
    x = 302,430.81/684.34
  6. Step 6: Final answer
    x = 441.93

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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.