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Finding the Fourth Proportional to 909.80, 1,255.80 and 536.76

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Solution

The fourth proportional to 909.80, 1,255.80 and 536.76 is: 740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.80 : 1,255.80 = 536.76 : x
  2. Step 2: Convert to fraction form
    909.80/1,255.80 = 536.76/x
  3. Step 3: Cross multiply
    909.80x = 1,255.80 × 536.76
  4. Step 4: Simplify right side
    909.80x = 674,063.21
  5. Step 5: Solve for x
    x = 674,063.21/909.80
  6. Step 6: Final answer
    x = 740.89

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1.5x scale

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.