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Finding the Fourth Proportional to 589.88, 882.09 and 503.01

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Solution

The fourth proportional to 589.88, 882.09 and 503.01 is: 752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 882.09 = 503.01 : x
  2. Step 2: Convert to fraction form
    589.88/882.09 = 503.01/x
  3. Step 3: Cross multiply
    589.88x = 882.09 × 503.01
  4. Step 4: Simplify right side
    589.88x = 443,700.09
  5. Step 5: Solve for x
    x = 443,700.09/589.88
  6. Step 6: Final answer
    x = 752.18

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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.