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Finding the Fourth Proportional to 909.06, 1,364.06 and 421.84

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Solution

The fourth proportional to 909.06, 1,364.06 and 421.84 is: 632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.06 : 1,364.06 = 421.84 : x
  2. Step 2: Convert to fraction form
    909.06/1,364.06 = 421.84/x
  3. Step 3: Cross multiply
    909.06x = 1,364.06 × 421.84
  4. Step 4: Simplify right side
    909.06x = 575,415.07
  5. Step 5: Solve for x
    x = 575,415.07/909.06
  6. Step 6: Final answer
    x = 632.98

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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.