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Finding the Fourth Proportional to 1,355.78, 1,870.97 and 766.31

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Solution

The fourth proportional to 1,355.78, 1,870.97 and 766.31 is: 1,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.78 : 1,870.97 = 766.31 : x
  2. Step 2: Convert to fraction form
    1,355.78/1,870.97 = 766.31/x
  3. Step 3: Cross multiply
    1,355.78x = 1,870.97 × 766.31
  4. Step 4: Simplify right side
    1,355.78x = 1,433,743.02
  5. Step 5: Solve for x
    x = 1,433,743.02/1,355.78
  6. Step 6: Final answer
    x = 1,057.50

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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.