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Finding the Fourth Proportional to 589.69, 881.94 and 525.14

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Solution

The fourth proportional to 589.69, 881.94 and 525.14 is: 785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.69 : 881.94 = 525.14 : x
  2. Step 2: Convert to fraction form
    589.69/881.94 = 525.14/x
  3. Step 3: Cross multiply
    589.69x = 881.94 × 525.14
  4. Step 4: Simplify right side
    589.69x = 463,141.97
  5. Step 5: Solve for x
    x = 463,141.97/589.69
  6. Step 6: Final answer
    x = 785.41

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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.