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Finding the Fourth Proportional to 1,025.68, 1,539.06 and 783.76

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Solution

The fourth proportional to 1,025.68, 1,539.06 and 783.76 is: 1,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.68 : 1,539.06 = 783.76 : x
  2. Step 2: Convert to fraction form
    1,025.68/1,539.06 = 783.76/x
  3. Step 3: Cross multiply
    1,025.68x = 1,539.06 × 783.76
  4. Step 4: Simplify right side
    1,025.68x = 1,206,253.67
  5. Step 5: Solve for x
    x = 1,206,253.67/1,025.68
  6. Step 6: Final answer
    x = 1,176.05

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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.