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Finding the Fourth Proportional to 882.90, 1,218.56 and 509.83

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Solution

The fourth proportional to 882.90, 1,218.56 and 509.83 is: 703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.90 : 1,218.56 = 509.83 : x
  2. Step 2: Convert to fraction form
    882.90/1,218.56 = 509.83/x
  3. Step 3: Cross multiply
    882.90x = 1,218.56 × 509.83
  4. Step 4: Simplify right side
    882.90x = 621,258.44
  5. Step 5: Solve for x
    x = 621,258.44/882.90
  6. Step 6: Final answer
    x = 703.66

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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.