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Finding the Fourth Proportional to 899.49, 1,346.41 and 624.75

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Solution

The fourth proportional to 899.49, 1,346.41 and 624.75 is: 935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.49 : 1,346.41 = 624.75 : x
  2. Step 2: Convert to fraction form
    899.49/1,346.41 = 624.75/x
  3. Step 3: Cross multiply
    899.49x = 1,346.41 × 624.75
  4. Step 4: Simplify right side
    899.49x = 841,169.65
  5. Step 5: Solve for x
    x = 841,169.65/899.49
  6. Step 6: Final answer
    x = 935.16

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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.