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Finding the Fourth Proportional to 899.78, 1,348.86 and 322.25

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Solution

The fourth proportional to 899.78, 1,348.86 and 322.25 is: 483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.78 : 1,348.86 = 322.25 : x
  2. Step 2: Convert to fraction form
    899.78/1,348.86 = 322.25/x
  3. Step 3: Cross multiply
    899.78x = 1,348.86 × 322.25
  4. Step 4: Simplify right side
    899.78x = 434,670.14
  5. Step 5: Solve for x
    x = 434,670.14/899.78
  6. Step 6: Final answer
    x = 483.08

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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.