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Finding the Fourth Proportional to 853.65, 1,178.03 and 591.82

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Solution

The fourth proportional to 853.65, 1,178.03 and 591.82 is: 816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.65 : 1,178.03 = 591.82 : x
  2. Step 2: Convert to fraction form
    853.65/1,178.03 = 591.82/x
  3. Step 3: Cross multiply
    853.65x = 1,178.03 × 591.82
  4. Step 4: Simplify right side
    853.65x = 697,175.82
  5. Step 5: Solve for x
    x = 697,175.82/853.65
  6. Step 6: Final answer
    x = 816.70

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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.