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Finding the Fourth Proportional to 882.48, 1,217.79 and 509.45

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Solution

The fourth proportional to 882.48, 1,217.79 and 509.45 is: 703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.48 : 1,217.79 = 509.45 : x
  2. Step 2: Convert to fraction form
    882.48/1,217.79 = 509.45/x
  3. Step 3: Cross multiply
    882.48x = 1,217.79 × 509.45
  4. Step 4: Simplify right side
    882.48x = 620,397.03
  5. Step 5: Solve for x
    x = 620,397.03/882.48
  6. Step 6: Final answer
    x = 703.02

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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.