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Finding the Fourth Proportional to 882.84, 1,218.36 and 509.80

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Solution

The fourth proportional to 882.84, 1,218.36 and 509.80 is: 703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.84 : 1,218.36 = 509.80 : x
  2. Step 2: Convert to fraction form
    882.84/1,218.36 = 509.80/x
  3. Step 3: Cross multiply
    882.84x = 1,218.36 × 509.80
  4. Step 4: Simplify right side
    882.84x = 621,119.93
  5. Step 5: Solve for x
    x = 621,119.93/882.84
  6. Step 6: Final answer
    x = 703.55

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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.