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Finding the Fourth Proportional to 1,387.08, 1,914.10 and 766.12

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Solution

The fourth proportional to 1,387.08, 1,914.10 and 766.12 is: 1,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.08 : 1,914.10 = 766.12 : x
  2. Step 2: Convert to fraction form
    1,387.08/1,914.10 = 766.12/x
  3. Step 3: Cross multiply
    1,387.08x = 1,914.10 × 766.12
  4. Step 4: Simplify right side
    1,387.08x = 1,466,430.29
  5. Step 5: Solve for x
    x = 1,466,430.29/1,387.08
  6. Step 6: Final answer
    x = 1,057.21

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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.