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Finding the Fourth Proportional to 912.03, 1,257.96 and 597.49

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Solution

The fourth proportional to 912.03, 1,257.96 and 597.49 is: 824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.03 : 1,257.96 = 597.49 : x
  2. Step 2: Convert to fraction form
    912.03/1,257.96 = 597.49/x
  3. Step 3: Cross multiply
    912.03x = 1,257.96 × 597.49
  4. Step 4: Simplify right side
    912.03x = 751,618.52
  5. Step 5: Solve for x
    x = 751,618.52/912.03
  6. Step 6: Final answer
    x = 824.12

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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.