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Finding the Fourth Proportional to 897.41, 1,235.56 and 765.89

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Solution

The fourth proportional to 897.41, 1,235.56 and 765.89 is: 1,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.41 : 1,235.56 = 765.89 : x
  2. Step 2: Convert to fraction form
    897.41/1,235.56 = 765.89/x
  3. Step 3: Cross multiply
    897.41x = 1,235.56 × 765.89
  4. Step 4: Simplify right side
    897.41x = 946,303.05
  5. Step 5: Solve for x
    x = 946,303.05/897.41
  6. Step 6: Final answer
    x = 1,054.48

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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.