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Finding the Fourth Proportional to 896.66, 1,234.53 and 765.14

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Solution

The fourth proportional to 896.66, 1,234.53 and 765.14 is: 1,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.66 : 1,234.53 = 765.14 : x
  2. Step 2: Convert to fraction form
    896.66/1,234.53 = 765.14/x
  3. Step 3: Cross multiply
    896.66x = 1,234.53 × 765.14
  4. Step 4: Simplify right side
    896.66x = 944,588.28
  5. Step 5: Solve for x
    x = 944,588.28/896.66
  6. Step 6: Final answer
    x = 1,053.45

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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.