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Finding the Fourth Proportional to 882.63, 1,218.00 and 509.73

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Solution

The fourth proportional to 882.63, 1,218.00 and 509.73 is: 703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.63 : 1,218.00 = 509.73 : x
  2. Step 2: Convert to fraction form
    882.63/1,218.00 = 509.73/x
  3. Step 3: Cross multiply
    882.63x = 1,218.00 × 509.73
  4. Step 4: Simplify right side
    882.63x = 620,848.48
  5. Step 5: Solve for x
    x = 620,848.48/882.63
  6. Step 6: Final answer
    x = 703.41

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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.