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Finding the Fourth Proportional to 909.34, 1,254.96 and 511.04

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Solution

The fourth proportional to 909.34, 1,254.96 and 511.04 is: 705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.34 : 1,254.96 = 511.04 : x
  2. Step 2: Convert to fraction form
    909.34/1,254.96 = 511.04/x
  3. Step 3: Cross multiply
    909.34x = 1,254.96 × 511.04
  4. Step 4: Simplify right side
    909.34x = 641,337.90
  5. Step 5: Solve for x
    x = 641,337.90/909.34
  6. Step 6: Final answer
    x = 705.28

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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.