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Finding the Fourth Proportional to 1,404.28, 1,937.86 and 783.24

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Solution

The fourth proportional to 1,404.28, 1,937.86 and 783.24 is: 1,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.28 : 1,937.86 = 783.24 : x
  2. Step 2: Convert to fraction form
    1,404.28/1,937.86 = 783.24/x
  3. Step 3: Cross multiply
    1,404.28x = 1,937.86 × 783.24
  4. Step 4: Simplify right side
    1,404.28x = 1,517,809.47
  5. Step 5: Solve for x
    x = 1,517,809.47/1,404.28
  6. Step 6: Final answer
    x = 1,080.85

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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.