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Finding the Fourth Proportional to 853.74, 1,277.64 and 524.53

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Solution

The fourth proportional to 853.74, 1,277.64 and 524.53 is: 784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.74 : 1,277.64 = 524.53 : x
  2. Step 2: Convert to fraction form
    853.74/1,277.64 = 524.53/x
  3. Step 3: Cross multiply
    853.74x = 1,277.64 × 524.53
  4. Step 4: Simplify right side
    853.74x = 670,162.11
  5. Step 5: Solve for x
    x = 670,162.11/853.74
  6. Step 6: Final answer
    x = 784.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.