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Finding the Fourth Proportional to 1,062.18, 1,464.54 and 914.56

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Solution

The fourth proportional to 1,062.18, 1,464.54 and 914.56 is: 1,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.18 : 1,464.54 = 914.56 : x
  2. Step 2: Convert to fraction form
    1,062.18/1,464.54 = 914.56/x
  3. Step 3: Cross multiply
    1,062.18x = 1,464.54 × 914.56
  4. Step 4: Simplify right side
    1,062.18x = 1,339,409.70
  5. Step 5: Solve for x
    x = 1,339,409.70/1,062.18
  6. Step 6: Final answer
    x = 1,261.00

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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.