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Finding the Fourth Proportional to 1,412.76, 1,949.52 and 783.30

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Solution

The fourth proportional to 1,412.76, 1,949.52 and 783.30 is: 1,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.76 : 1,949.52 = 783.30 : x
  2. Step 2: Convert to fraction form
    1,412.76/1,949.52 = 783.30/x
  3. Step 3: Cross multiply
    1,412.76x = 1,949.52 × 783.30
  4. Step 4: Simplify right side
    1,412.76x = 1,527,059.02
  5. Step 5: Solve for x
    x = 1,527,059.02/1,412.76
  6. Step 6: Final answer
    x = 1,080.90

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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.