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Finding the Fourth Proportional to 1,355.48, 1,870.48 and 766.20

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Solution

The fourth proportional to 1,355.48, 1,870.48 and 766.20 is: 1,057.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.48 : 1,870.48 = 766.20 : x
  2. Step 2: Convert to fraction form
    1,355.48/1,870.48 = 766.20/x
  3. Step 3: Cross multiply
    1,355.48x = 1,870.48 × 766.20
  4. Step 4: Simplify right side
    1,355.48x = 1,433,161.78
  5. Step 5: Solve for x
    x = 1,433,161.78/1,355.48
  6. Step 6: Final answer
    x = 1,057.31

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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.