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Finding the Fourth Proportional to 1,004.07, 1,385.61 and 555.94

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Solution

The fourth proportional to 1,004.07, 1,385.61 and 555.94 is: 767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.07 : 1,385.61 = 555.94 : x
  2. Step 2: Convert to fraction form
    1,004.07/1,385.61 = 555.94/x
  3. Step 3: Cross multiply
    1,004.07x = 1,385.61 × 555.94
  4. Step 4: Simplify right side
    1,004.07x = 770,316.02
  5. Step 5: Solve for x
    x = 770,316.02/1,004.07
  6. Step 6: Final answer
    x = 767.19

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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.