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Finding the Fourth Proportional to 913.08, 1,369.01 and 444.43

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Solution

The fourth proportional to 913.08, 1,369.01 and 444.43 is: 666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.08 : 1,369.01 = 444.43 : x
  2. Step 2: Convert to fraction form
    913.08/1,369.01 = 444.43/x
  3. Step 3: Cross multiply
    913.08x = 1,369.01 × 444.43
  4. Step 4: Simplify right side
    913.08x = 608,421.16
  5. Step 5: Solve for x
    x = 608,421.16/913.08
  6. Step 6: Final answer
    x = 666.34

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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.