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Finding the Fourth Proportional to 846.39, 1,269.59 and 456.58

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Solution

The fourth proportional to 846.39, 1,269.59 and 456.58 is: 684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.39 : 1,269.59 = 456.58 : x
  2. Step 2: Convert to fraction form
    846.39/1,269.59 = 456.58/x
  3. Step 3: Cross multiply
    846.39x = 1,269.59 × 456.58
  4. Step 4: Simplify right side
    846.39x = 579,668.98
  5. Step 5: Solve for x
    x = 579,668.98/846.39
  6. Step 6: Final answer
    x = 684.87

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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.