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Finding the Fourth Proportional to 743.40, 1,114.49 and 524.09

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Solution

The fourth proportional to 743.40, 1,114.49 and 524.09 is: 785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.40 : 1,114.49 = 524.09 : x
  2. Step 2: Convert to fraction form
    743.40/1,114.49 = 524.09/x
  3. Step 3: Cross multiply
    743.40x = 1,114.49 × 524.09
  4. Step 4: Simplify right side
    743.40x = 584,097.16
  5. Step 5: Solve for x
    x = 584,097.16/743.40
  6. Step 6: Final answer
    x = 785.71

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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.