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Finding the Fourth Proportional to 909.84, 1,255.64 and 536.80

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Solution

The fourth proportional to 909.84, 1,255.64 and 536.80 is: 740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.84 : 1,255.64 = 536.80 : x
  2. Step 2: Convert to fraction form
    909.84/1,255.64 = 536.80/x
  3. Step 3: Cross multiply
    909.84x = 1,255.64 × 536.80
  4. Step 4: Simplify right side
    909.84x = 674,027.55
  5. Step 5: Solve for x
    x = 674,027.55/909.84
  6. Step 6: Final answer
    x = 740.82

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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.