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Finding the Fourth Proportional to 1,055.02, 1,456 and 582.96

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Solution

The fourth proportional to 1,055.02, 1,456 and 582.96 is: 804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.02 : 1,456 = 582.96 : x
  2. Step 2: Convert to fraction form
    1,055.02/1,456 = 582.96/x
  3. Step 3: Cross multiply
    1,055.02x = 1,456 × 582.96
  4. Step 4: Simplify right side
    1,055.02x = 848,789.76
  5. Step 5: Solve for x
    x = 848,789.76/1,055.02
  6. Step 6: Final answer
    x = 804.52

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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.