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Finding the Fourth Proportional to 743.50, 1,026.84 and 511.30

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Solution

The fourth proportional to 743.50, 1,026.84 and 511.30 is: 706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.50 : 1,026.84 = 511.30 : x
  2. Step 2: Convert to fraction form
    743.50/1,026.84 = 511.30/x
  3. Step 3: Cross multiply
    743.50x = 1,026.84 × 511.30
  4. Step 4: Simplify right side
    743.50x = 525,023.29
  5. Step 5: Solve for x
    x = 525,023.29/743.50
  6. Step 6: Final answer
    x = 706.15

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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.