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Finding the Fourth Proportional to 1,054.04, 1,454.57 and 588.29

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Solution

The fourth proportional to 1,054.04, 1,454.57 and 588.29 is: 811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.04 : 1,454.57 = 588.29 : x
  2. Step 2: Convert to fraction form
    1,054.04/1,454.57 = 588.29/x
  3. Step 3: Cross multiply
    1,054.04x = 1,454.57 × 588.29
  4. Step 4: Simplify right side
    1,054.04x = 855,698.77
  5. Step 5: Solve for x
    x = 855,698.77/1,054.04
  6. Step 6: Final answer
    x = 811.83

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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.