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Finding the Fourth Proportional to 1,054.84, 1,455.48 and 741.07

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Solution

The fourth proportional to 1,054.84, 1,455.48 and 741.07 is: 1,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.84 : 1,455.48 = 741.07 : x
  2. Step 2: Convert to fraction form
    1,054.84/1,455.48 = 741.07/x
  3. Step 3: Cross multiply
    1,054.84x = 1,455.48 × 741.07
  4. Step 4: Simplify right side
    1,054.84x = 1,078,612.56
  5. Step 5: Solve for x
    x = 1,078,612.56/1,054.84
  6. Step 6: Final answer
    x = 1,022.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.