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Finding the Fourth Proportional to 899.16, 1,349.19 and 412.14

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Solution

The fourth proportional to 899.16, 1,349.19 and 412.14 is: 618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.16 : 1,349.19 = 412.14 : x
  2. Step 2: Convert to fraction form
    899.16/1,349.19 = 412.14/x
  3. Step 3: Cross multiply
    899.16x = 1,349.19 × 412.14
  4. Step 4: Simplify right side
    899.16x = 556,055.17
  5. Step 5: Solve for x
    x = 556,055.17/899.16
  6. Step 6: Final answer
    x = 618.42

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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.