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Finding the Fourth Proportional to 1,385.04, 2,077.60 and 473.04

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Solution

The fourth proportional to 1,385.04, 2,077.60 and 473.04 is: 709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.04 : 2,077.60 = 473.04 : x
  2. Step 2: Convert to fraction form
    1,385.04/2,077.60 = 473.04/x
  3. Step 3: Cross multiply
    1,385.04x = 2,077.60 × 473.04
  4. Step 4: Simplify right side
    1,385.04x = 982,787.90
  5. Step 5: Solve for x
    x = 982,787.90/1,385.04
  6. Step 6: Final answer
    x = 709.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.