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Finding the Fourth Proportional to 743.55, 1,026.16 and 412.01

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Solution

The fourth proportional to 743.55, 1,026.16 and 412.01 is: 568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.55 : 1,026.16 = 412.01 : x
  2. Step 2: Convert to fraction form
    743.55/1,026.16 = 412.01/x
  3. Step 3: Cross multiply
    743.55x = 1,026.16 × 412.01
  4. Step 4: Simplify right side
    743.55x = 422,784.59
  5. Step 5: Solve for x
    x = 422,784.59/743.55
  6. Step 6: Final answer
    x = 568.60

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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.