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Finding the Fourth Proportional to 1,004.14, 1,385.55 and 572.96

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Solution

The fourth proportional to 1,004.14, 1,385.55 and 572.96 is: 790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.14 : 1,385.55 = 572.96 : x
  2. Step 2: Convert to fraction form
    1,004.14/1,385.55 = 572.96/x
  3. Step 3: Cross multiply
    1,004.14x = 1,385.55 × 572.96
  4. Step 4: Simplify right side
    1,004.14x = 793,864.73
  5. Step 5: Solve for x
    x = 793,864.73/1,004.14
  6. Step 6: Final answer
    x = 790.59

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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.