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Finding the Fourth Proportional to 1,047.82, 1,446.03 and 582.07

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Solution

The fourth proportional to 1,047.82, 1,446.03 and 582.07 is: 803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.82 : 1,446.03 = 582.07 : x
  2. Step 2: Convert to fraction form
    1,047.82/1,446.03 = 582.07/x
  3. Step 3: Cross multiply
    1,047.82x = 1,446.03 × 582.07
  4. Step 4: Simplify right side
    1,047.82x = 841,690.68
  5. Step 5: Solve for x
    x = 841,690.68/1,047.82
  6. Step 6: Final answer
    x = 803.28

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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.