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Finding the Fourth Proportional to 1,410.47, 1,946.45 and 781.04

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Solution

The fourth proportional to 1,410.47, 1,946.45 and 781.04 is: 1,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.47 : 1,946.45 = 781.04 : x
  2. Step 2: Convert to fraction form
    1,410.47/1,946.45 = 781.04/x
  3. Step 3: Cross multiply
    1,410.47x = 1,946.45 × 781.04
  4. Step 4: Simplify right side
    1,410.47x = 1,520,241.67
  5. Step 5: Solve for x
    x = 1,520,241.67/1,410.47
  6. Step 6: Final answer
    x = 1,077.83

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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.