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Finding the Fourth Proportional to 676.79, 1,015.45 and 286.87

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Solution

The fourth proportional to 676.79, 1,015.45 and 286.87 is: 430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.79 : 1,015.45 = 286.87 : x
  2. Step 2: Convert to fraction form
    676.79/1,015.45 = 286.87/x
  3. Step 3: Cross multiply
    676.79x = 1,015.45 × 286.87
  4. Step 4: Simplify right side
    676.79x = 291,300.71
  5. Step 5: Solve for x
    x = 291,300.71/676.79
  6. Step 6: Final answer
    x = 430.42

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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.