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Finding the Fourth Proportional to 743.57, 1,026.08 and 407.45

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Solution

The fourth proportional to 743.57, 1,026.08 and 407.45 is: 562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.57 : 1,026.08 = 407.45 : x
  2. Step 2: Convert to fraction form
    743.57/1,026.08 = 407.45/x
  3. Step 3: Cross multiply
    743.57x = 1,026.08 × 407.45
  4. Step 4: Simplify right side
    743.57x = 418,076.82
  5. Step 5: Solve for x
    x = 418,076.82/743.57
  6. Step 6: Final answer
    x = 562.26

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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.