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Finding the Fourth Proportional to 908.65, 1,254 and 510.33

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Solution

The fourth proportional to 908.65, 1,254 and 510.33 is: 704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.65 : 1,254 = 510.33 : x
  2. Step 2: Convert to fraction form
    908.65/1,254 = 510.33/x
  3. Step 3: Cross multiply
    908.65x = 1,254 × 510.33
  4. Step 4: Simplify right side
    908.65x = 639,953.82
  5. Step 5: Solve for x
    x = 639,953.82/908.65
  6. Step 6: Final answer
    x = 704.29

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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.