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Finding the Fourth Proportional to 882.99, 1,218.07 and 523.87

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Solution

The fourth proportional to 882.99, 1,218.07 and 523.87 is: 722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.99 : 1,218.07 = 523.87 : x
  2. Step 2: Convert to fraction form
    882.99/1,218.07 = 523.87/x
  3. Step 3: Cross multiply
    882.99x = 1,218.07 × 523.87
  4. Step 4: Simplify right side
    882.99x = 638,113.37
  5. Step 5: Solve for x
    x = 638,113.37/882.99
  6. Step 6: Final answer
    x = 722.67

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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.