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Finding the Fourth Proportional to 1,385.04, 2,078.18 and 735.63

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Solution

The fourth proportional to 1,385.04, 2,078.18 and 735.63 is: 1,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.04 : 2,078.18 = 735.63 : x
  2. Step 2: Convert to fraction form
    1,385.04/2,078.18 = 735.63/x
  3. Step 3: Cross multiply
    1,385.04x = 2,078.18 × 735.63
  4. Step 4: Simplify right side
    1,385.04x = 1,528,771.55
  5. Step 5: Solve for x
    x = 1,528,771.55/1,385.04
  6. Step 6: Final answer
    x = 1,103.77

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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.