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Finding the Fourth Proportional to 853.99, 1,178.49 and 499.93

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Solution

The fourth proportional to 853.99, 1,178.49 and 499.93 is: 689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.99 : 1,178.49 = 499.93 : x
  2. Step 2: Convert to fraction form
    853.99/1,178.49 = 499.93/x
  3. Step 3: Cross multiply
    853.99x = 1,178.49 × 499.93
  4. Step 4: Simplify right side
    853.99x = 589,159.56
  5. Step 5: Solve for x
    x = 589,159.56/853.99
  6. Step 6: Final answer
    x = 689.89

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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.