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Finding the Fourth Proportional to 894.59, 1,234.57 and 501.61

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Solution

The fourth proportional to 894.59, 1,234.57 and 501.61 is: 692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.59 : 1,234.57 = 501.61 : x
  2. Step 2: Convert to fraction form
    894.59/1,234.57 = 501.61/x
  3. Step 3: Cross multiply
    894.59x = 1,234.57 × 501.61
  4. Step 4: Simplify right side
    894.59x = 619,270.16
  5. Step 5: Solve for x
    x = 619,270.16/894.59
  6. Step 6: Final answer
    x = 692.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.