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Finding the Fourth Proportional to 1,355.22, 1,870.14 and 765.72

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Solution

The fourth proportional to 1,355.22, 1,870.14 and 765.72 is: 1,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.22 : 1,870.14 = 765.72 : x
  2. Step 2: Convert to fraction form
    1,355.22/1,870.14 = 765.72/x
  3. Step 3: Cross multiply
    1,355.22x = 1,870.14 × 765.72
  4. Step 4: Simplify right side
    1,355.22x = 1,432,003.60
  5. Step 5: Solve for x
    x = 1,432,003.60/1,355.22
  6. Step 6: Final answer
    x = 1,056.66

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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.