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Finding the Fourth Proportional to 743.76, 1,026.36 and 412.16

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Solution

The fourth proportional to 743.76, 1,026.36 and 412.16 is: 568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.76 : 1,026.36 = 412.16 : x
  2. Step 2: Convert to fraction form
    743.76/1,026.36 = 412.16/x
  3. Step 3: Cross multiply
    743.76x = 1,026.36 × 412.16
  4. Step 4: Simplify right side
    743.76x = 423,019.41
  5. Step 5: Solve for x
    x = 423,019.41/743.76
  6. Step 6: Final answer
    x = 568.76

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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.