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Finding the Fourth Proportional to 909.45, 1,357.02 and 817.47

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Solution

The fourth proportional to 909.45, 1,357.02 and 817.47 is: 1,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.45 : 1,357.02 = 817.47 : x
  2. Step 2: Convert to fraction form
    909.45/1,357.02 = 817.47/x
  3. Step 3: Cross multiply
    909.45x = 1,357.02 × 817.47
  4. Step 4: Simplify right side
    909.45x = 1,109,323.14
  5. Step 5: Solve for x
    x = 1,109,323.14/909.45
  6. Step 6: Final answer
    x = 1,219.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.