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Finding the Fourth Proportional to 909.39, 1,364.08 and 586.81

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Solution

The fourth proportional to 909.39, 1,364.08 and 586.81 is: 880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.39 : 1,364.08 = 586.81 : x
  2. Step 2: Convert to fraction form
    909.39/1,364.08 = 586.81/x
  3. Step 3: Cross multiply
    909.39x = 1,364.08 × 586.81
  4. Step 4: Simplify right side
    909.39x = 800,455.78
  5. Step 5: Solve for x
    x = 800,455.78/909.39
  6. Step 6: Final answer
    x = 880.21

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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.