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Finding the Fourth Proportional to 894.56, 1,341.30 and 586.04

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Solution

The fourth proportional to 894.56, 1,341.30 and 586.04 is: 878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.56 : 1,341.30 = 586.04 : x
  2. Step 2: Convert to fraction form
    894.56/1,341.30 = 586.04/x
  3. Step 3: Cross multiply
    894.56x = 1,341.30 × 586.04
  4. Step 4: Simplify right side
    894.56x = 786,055.45
  5. Step 5: Solve for x
    x = 786,055.45/894.56
  6. Step 6: Final answer
    x = 878.71

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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.