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Finding the Fourth Proportional to 752.75, 1,038.77 and 416.68

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Solution

The fourth proportional to 752.75, 1,038.77 and 416.68 is: 575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.75 : 1,038.77 = 416.68 : x
  2. Step 2: Convert to fraction form
    752.75/1,038.77 = 416.68/x
  3. Step 3: Cross multiply
    752.75x = 1,038.77 × 416.68
  4. Step 4: Simplify right side
    752.75x = 432,833.91
  5. Step 5: Solve for x
    x = 432,833.91/752.75
  6. Step 6: Final answer
    x = 575.00

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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.