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Finding the Fourth Proportional to 909.25, 1,254.88 and 511.07

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Solution

The fourth proportional to 909.25, 1,254.88 and 511.07 is: 705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.25 : 1,254.88 = 511.07 : x
  2. Step 2: Convert to fraction form
    909.25/1,254.88 = 511.07/x
  3. Step 3: Cross multiply
    909.25x = 1,254.88 × 511.07
  4. Step 4: Simplify right side
    909.25x = 641,331.52
  5. Step 5: Solve for x
    x = 641,331.52/909.25
  6. Step 6: Final answer
    x = 705.34

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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.