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Finding the Fourth Proportional to 743.65, 1,026.24 and 412.08

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Solution

The fourth proportional to 743.65, 1,026.24 and 412.08 is: 568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.65 : 1,026.24 = 412.08 : x
  2. Step 2: Convert to fraction form
    743.65/1,026.24 = 412.08/x
  3. Step 3: Cross multiply
    743.65x = 1,026.24 × 412.08
  4. Step 4: Simplify right side
    743.65x = 422,890.41
  5. Step 5: Solve for x
    x = 422,890.41/743.65
  6. Step 6: Final answer
    x = 568.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.