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Finding the Fourth Proportional to 744.96, 1,027.58 and 511.68

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Solution

The fourth proportional to 744.96, 1,027.58 and 511.68 is: 705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.96 : 1,027.58 = 511.68 : x
  2. Step 2: Convert to fraction form
    744.96/1,027.58 = 511.68/x
  3. Step 3: Cross multiply
    744.96x = 1,027.58 × 511.68
  4. Step 4: Simplify right side
    744.96x = 525,792.13
  5. Step 5: Solve for x
    x = 525,792.13/744.96
  6. Step 6: Final answer
    x = 705.80

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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.