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Finding the Fourth Proportional to 832.14, 1,146.33 and 582.98

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Solution

The fourth proportional to 832.14, 1,146.33 and 582.98 is: 803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.14 : 1,146.33 = 582.98 : x
  2. Step 2: Convert to fraction form
    832.14/1,146.33 = 582.98/x
  3. Step 3: Cross multiply
    832.14x = 1,146.33 × 582.98
  4. Step 4: Simplify right side
    832.14x = 668,281.73
  5. Step 5: Solve for x
    x = 668,281.73/832.14
  6. Step 6: Final answer
    x = 803.09

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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.