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Finding the Fourth Proportional to 908.89, 1,254.16 and 510.58

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Solution

The fourth proportional to 908.89, 1,254.16 and 510.58 is: 704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.89 : 1,254.16 = 510.58 : x
  2. Step 2: Convert to fraction form
    908.89/1,254.16 = 510.58/x
  3. Step 3: Cross multiply
    908.89x = 1,254.16 × 510.58
  4. Step 4: Simplify right side
    908.89x = 640,349.01
  5. Step 5: Solve for x
    x = 640,349.01/908.89
  6. Step 6: Final answer
    x = 704.54

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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.