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Finding the Fourth Proportional to 743.50, 1,026.46 and 569.17

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Solution

The fourth proportional to 743.50, 1,026.46 and 569.17 is: 785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.50 : 1,026.46 = 569.17 : x
  2. Step 2: Convert to fraction form
    743.50/1,026.46 = 569.17/x
  3. Step 3: Cross multiply
    743.50x = 1,026.46 × 569.17
  4. Step 4: Simplify right side
    743.50x = 584,230.24
  5. Step 5: Solve for x
    x = 584,230.24/743.50
  6. Step 6: Final answer
    x = 785.78

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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.