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Finding the Fourth Proportional to 894.04, 1,341.51 and 524.37

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Solution

The fourth proportional to 894.04, 1,341.51 and 524.37 is: 786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.04 : 1,341.51 = 524.37 : x
  2. Step 2: Convert to fraction form
    894.04/1,341.51 = 524.37/x
  3. Step 3: Cross multiply
    894.04x = 1,341.51 × 524.37
  4. Step 4: Simplify right side
    894.04x = 703,453.61
  5. Step 5: Solve for x
    x = 703,453.61/894.04
  6. Step 6: Final answer
    x = 786.83

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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.