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Finding the Fourth Proportional to 589.68, 811.62 and 541.89

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Solution

The fourth proportional to 589.68, 811.62 and 541.89 is: 745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 811.62 = 541.89 : x
  2. Step 2: Convert to fraction form
    589.68/811.62 = 541.89/x
  3. Step 3: Cross multiply
    589.68x = 811.62 × 541.89
  4. Step 4: Simplify right side
    589.68x = 439,808.76
  5. Step 5: Solve for x
    x = 439,808.76/589.68
  6. Step 6: Final answer
    x = 745.84

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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.