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Finding the Fourth Proportional to 864.10, 1,295.79 and 286.84

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Solution

The fourth proportional to 864.10, 1,295.79 and 286.84 is: 430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.10 : 1,295.79 = 286.84 : x
  2. Step 2: Convert to fraction form
    864.10/1,295.79 = 286.84/x
  3. Step 3: Cross multiply
    864.10x = 1,295.79 × 286.84
  4. Step 4: Simplify right side
    864.10x = 371,684.40
  5. Step 5: Solve for x
    x = 371,684.40/864.10
  6. Step 6: Final answer
    x = 430.14

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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.