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Finding the Fourth Proportional to 905.69, 1,356.66 and 465.62

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Solution

The fourth proportional to 905.69, 1,356.66 and 465.62 is: 697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.69 : 1,356.66 = 465.62 : x
  2. Step 2: Convert to fraction form
    905.69/1,356.66 = 465.62/x
  3. Step 3: Cross multiply
    905.69x = 1,356.66 × 465.62
  4. Step 4: Simplify right side
    905.69x = 631,681.25
  5. Step 5: Solve for x
    x = 631,681.25/905.69
  6. Step 6: Final answer
    x = 697.46

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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.