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Finding the Fourth Proportional to 909.23, 1,362.45 and 543.83

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Solution

The fourth proportional to 909.23, 1,362.45 and 543.83 is: 814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.23 : 1,362.45 = 543.83 : x
  2. Step 2: Convert to fraction form
    909.23/1,362.45 = 543.83/x
  3. Step 3: Cross multiply
    909.23x = 1,362.45 × 543.83
  4. Step 4: Simplify right side
    909.23x = 740,941.18
  5. Step 5: Solve for x
    x = 740,941.18/909.23
  6. Step 6: Final answer
    x = 814.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.