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Finding the Fourth Proportional to 1,054.31, 1,454.95 and 588.56

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Solution

The fourth proportional to 1,054.31, 1,454.95 and 588.56 is: 812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.31 : 1,454.95 = 588.56 : x
  2. Step 2: Convert to fraction form
    1,054.31/1,454.95 = 588.56/x
  3. Step 3: Cross multiply
    1,054.31x = 1,454.95 × 588.56
  4. Step 4: Simplify right side
    1,054.31x = 856,329.75
  5. Step 5: Solve for x
    x = 856,329.75/1,054.31
  6. Step 6: Final answer
    x = 812.22

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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.