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Finding the Fourth Proportional to 1,004.22, 1,385.73 and 562.14

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Solution

The fourth proportional to 1,004.22, 1,385.73 and 562.14 is: 775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.22 : 1,385.73 = 562.14 : x
  2. Step 2: Convert to fraction form
    1,004.22/1,385.73 = 562.14/x
  3. Step 3: Cross multiply
    1,004.22x = 1,385.73 × 562.14
  4. Step 4: Simplify right side
    1,004.22x = 778,974.26
  5. Step 5: Solve for x
    x = 778,974.26/1,004.22
  6. Step 6: Final answer
    x = 775.70

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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.