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Finding the Fourth Proportional to 894.58, 1,234.65 and 501.64

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Solution

The fourth proportional to 894.58, 1,234.65 and 501.64 is: 692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.58 : 1,234.65 = 501.64 : x
  2. Step 2: Convert to fraction form
    894.58/1,234.65 = 501.64/x
  3. Step 3: Cross multiply
    894.58x = 1,234.65 × 501.64
  4. Step 4: Simplify right side
    894.58x = 619,349.83
  5. Step 5: Solve for x
    x = 619,349.83/894.58
  6. Step 6: Final answer
    x = 692.34

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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.