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Finding the Fourth Proportional to 1,054.04, 1,454.54 and 588.26

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Solution

The fourth proportional to 1,054.04, 1,454.54 and 588.26 is: 811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.04 : 1,454.54 = 588.26 : x
  2. Step 2: Convert to fraction form
    1,054.04/1,454.54 = 588.26/x
  3. Step 3: Cross multiply
    1,054.04x = 1,454.54 × 588.26
  4. Step 4: Simplify right side
    1,054.04x = 855,647.70
  5. Step 5: Solve for x
    x = 855,647.70/1,054.04
  6. Step 6: Final answer
    x = 811.78

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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.