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Finding the Fourth Proportional to 642.96, 885.60 and 511.20

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Solution

The fourth proportional to 642.96, 885.60 and 511.20 is: 704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.96 : 885.60 = 511.20 : x
  2. Step 2: Convert to fraction form
    642.96/885.60 = 511.20/x
  3. Step 3: Cross multiply
    642.96x = 885.60 × 511.20
  4. Step 4: Simplify right side
    642.96x = 452,718.72
  5. Step 5: Solve for x
    x = 452,718.72/642.96
  6. Step 6: Final answer
    x = 704.12

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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.