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Finding the Fourth Proportional to 866.66, 1,300.86 and 455.72

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Solution

The fourth proportional to 866.66, 1,300.86 and 455.72 is: 684.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.66 : 1,300.86 = 455.72 : x
  2. Step 2: Convert to fraction form
    866.66/1,300.86 = 455.72/x
  3. Step 3: Cross multiply
    866.66x = 1,300.86 × 455.72
  4. Step 4: Simplify right side
    866.66x = 592,821.41
  5. Step 5: Solve for x
    x = 592,821.41/866.66
  6. Step 6: Final answer
    x = 684.03

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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.