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Finding the Fourth Proportional to 1,254.08, 1,878.24 and 766.40

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Solution

The fourth proportional to 1,254.08, 1,878.24 and 766.40 is: 1,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.08 : 1,878.24 = 766.40 : x
  2. Step 2: Convert to fraction form
    1,254.08/1,878.24 = 766.40/x
  3. Step 3: Cross multiply
    1,254.08x = 1,878.24 × 766.40
  4. Step 4: Simplify right side
    1,254.08x = 1,439,483.14
  5. Step 5: Solve for x
    x = 1,439,483.14/1,254.08
  6. Step 6: Final answer
    x = 1,147.84

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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.