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Finding the Fourth Proportional to 1,004.09, 1,385.39 and 561.83

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Solution

The fourth proportional to 1,004.09, 1,385.39 and 561.83 is: 775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.09 : 1,385.39 = 561.83 : x
  2. Step 2: Convert to fraction form
    1,004.09/1,385.39 = 561.83/x
  3. Step 3: Cross multiply
    1,004.09x = 1,385.39 × 561.83
  4. Step 4: Simplify right side
    1,004.09x = 778,343.93
  5. Step 5: Solve for x
    x = 778,343.93/1,004.09
  6. Step 6: Final answer
    x = 775.18

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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.