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Finding the Fourth Proportional to 899.57, 1,349.45 and 412.76

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Solution

The fourth proportional to 899.57, 1,349.45 and 412.76 is: 619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.57 : 1,349.45 = 412.76 : x
  2. Step 2: Convert to fraction form
    899.57/1,349.45 = 412.76/x
  3. Step 3: Cross multiply
    899.57x = 1,349.45 × 412.76
  4. Step 4: Simplify right side
    899.57x = 556,990.17
  5. Step 5: Solve for x
    x = 556,990.17/899.57
  6. Step 6: Final answer
    x = 619.18

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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.