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Finding the Fourth Proportional to 909.53, 1,365.66 and 807.47

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Solution

The fourth proportional to 909.53, 1,365.66 and 807.47 is: 1,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.53 : 1,365.66 = 807.47 : x
  2. Step 2: Convert to fraction form
    909.53/1,365.66 = 807.47/x
  3. Step 3: Cross multiply
    909.53x = 1,365.66 × 807.47
  4. Step 4: Simplify right side
    909.53x = 1,102,727.77
  5. Step 5: Solve for x
    x = 1,102,727.77/909.53
  6. Step 6: Final answer
    x = 1,212.42

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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.