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Finding the Fourth Proportional to 743.62, 1,116.51 and 456.34

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Solution

The fourth proportional to 743.62, 1,116.51 and 456.34 is: 685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.62 : 1,116.51 = 456.34 : x
  2. Step 2: Convert to fraction form
    743.62/1,116.51 = 456.34/x
  3. Step 3: Cross multiply
    743.62x = 1,116.51 × 456.34
  4. Step 4: Simplify right side
    743.62x = 509,508.17
  5. Step 5: Solve for x
    x = 509,508.17/743.62
  6. Step 6: Final answer
    x = 685.17

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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.