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Finding the Fourth Proportional to 882.96, 1,218.66 and 510.20

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Solution

The fourth proportional to 882.96, 1,218.66 and 510.20 is: 704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.96 : 1,218.66 = 510.20 : x
  2. Step 2: Convert to fraction form
    882.96/1,218.66 = 510.20/x
  3. Step 3: Cross multiply
    882.96x = 1,218.66 × 510.20
  4. Step 4: Simplify right side
    882.96x = 621,760.33
  5. Step 5: Solve for x
    x = 621,760.33/882.96
  6. Step 6: Final answer
    x = 704.18

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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.