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Finding the Fourth Proportional to 1,004.05, 1,385.63 and 561.94

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Solution

The fourth proportional to 1,004.05, 1,385.63 and 561.94 is: 775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.05 : 1,385.63 = 561.94 : x
  2. Step 2: Convert to fraction form
    1,004.05/1,385.63 = 561.94/x
  3. Step 3: Cross multiply
    1,004.05x = 1,385.63 × 561.94
  4. Step 4: Simplify right side
    1,004.05x = 778,638.34
  5. Step 5: Solve for x
    x = 778,638.34/1,004.05
  6. Step 6: Final answer
    x = 775.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.