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Finding the Fourth Proportional to 1,004.15, 1,385.74 and 562.09

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Solution

The fourth proportional to 1,004.15, 1,385.74 and 562.09 is: 775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.15 : 1,385.74 = 562.09 : x
  2. Step 2: Convert to fraction form
    1,004.15/1,385.74 = 562.09/x
  3. Step 3: Cross multiply
    1,004.15x = 1,385.74 × 562.09
  4. Step 4: Simplify right side
    1,004.15x = 778,910.60
  5. Step 5: Solve for x
    x = 778,910.60/1,004.15
  6. Step 6: Final answer
    x = 775.69

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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.