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Finding the Fourth Proportional to 752.90, 1,036.48 and 566.06

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Solution

The fourth proportional to 752.90, 1,036.48 and 566.06 is: 779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.90 : 1,036.48 = 566.06 : x
  2. Step 2: Convert to fraction form
    752.90/1,036.48 = 566.06/x
  3. Step 3: Cross multiply
    752.90x = 1,036.48 × 566.06
  4. Step 4: Simplify right side
    752.90x = 586,709.87
  5. Step 5: Solve for x
    x = 586,709.87/752.90
  6. Step 6: Final answer
    x = 779.27

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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.