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Finding the Fourth Proportional to 752.16, 1,036.46 and 583.10

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Solution

The fourth proportional to 752.16, 1,036.46 and 583.10 is: 803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.16 : 1,036.46 = 583.10 : x
  2. Step 2: Convert to fraction form
    752.16/1,036.46 = 583.10/x
  3. Step 3: Cross multiply
    752.16x = 1,036.46 × 583.10
  4. Step 4: Simplify right side
    752.16x = 604,351.73
  5. Step 5: Solve for x
    x = 604,351.73/752.16
  6. Step 6: Final answer
    x = 803.49

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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.