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Finding the Fourth Proportional to 1,054.26, 1,454.82 and 588.54

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Solution

The fourth proportional to 1,054.26, 1,454.82 and 588.54 is: 812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.26 : 1,454.82 = 588.54 : x
  2. Step 2: Convert to fraction form
    1,054.26/1,454.82 = 588.54/x
  3. Step 3: Cross multiply
    1,054.26x = 1,454.82 × 588.54
  4. Step 4: Simplify right side
    1,054.26x = 856,219.76
  5. Step 5: Solve for x
    x = 856,219.76/1,054.26
  6. Step 6: Final answer
    x = 812.15

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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.