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Finding the Fourth Proportional to 1,015.96, 1,522.34 and 740.78

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Solution

The fourth proportional to 1,015.96, 1,522.34 and 740.78 is: 1,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.96 : 1,522.34 = 740.78 : x
  2. Step 2: Convert to fraction form
    1,015.96/1,522.34 = 740.78/x
  3. Step 3: Cross multiply
    1,015.96x = 1,522.34 × 740.78
  4. Step 4: Simplify right side
    1,015.96x = 1,127,719.03
  5. Step 5: Solve for x
    x = 1,127,719.03/1,015.96
  6. Step 6: Final answer
    x = 1,110.00

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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.