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Finding the Fourth Proportional to 894.73, 1,340.35 and 503.54

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Solution

The fourth proportional to 894.73, 1,340.35 and 503.54 is: 754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.73 : 1,340.35 = 503.54 : x
  2. Step 2: Convert to fraction form
    894.73/1,340.35 = 503.54/x
  3. Step 3: Cross multiply
    894.73x = 1,340.35 × 503.54
  4. Step 4: Simplify right side
    894.73x = 674,913.77
  5. Step 5: Solve for x
    x = 674,913.77/894.73
  6. Step 6: Final answer
    x = 754.32

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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.