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Finding the Fourth Proportional to 684.37, 1,026.14 and 288.58

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Solution

The fourth proportional to 684.37, 1,026.14 and 288.58 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.37 : 1,026.14 = 288.58 : x
  2. Step 2: Convert to fraction form
    684.37/1,026.14 = 288.58/x
  3. Step 3: Cross multiply
    684.37x = 1,026.14 × 288.58
  4. Step 4: Simplify right side
    684.37x = 296,116.91
  5. Step 5: Solve for x
    x = 296,116.91/684.37
  6. Step 6: Final answer
    x = 432.69

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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.