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Finding the Fourth Proportional to 882.85, 1,218.18 and 509.81

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Solution

The fourth proportional to 882.85, 1,218.18 and 509.81 is: 703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.85 : 1,218.18 = 509.81 : x
  2. Step 2: Convert to fraction form
    882.85/1,218.18 = 509.81/x
  3. Step 3: Cross multiply
    882.85x = 1,218.18 × 509.81
  4. Step 4: Simplify right side
    882.85x = 621,040.35
  5. Step 5: Solve for x
    x = 621,040.35/882.85
  6. Step 6: Final answer
    x = 703.45

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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.