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Finding the Fourth Proportional to 1,054.32, 1,579.46 and 590.69

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Solution

The fourth proportional to 1,054.32, 1,579.46 and 590.69 is: 884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.32 : 1,579.46 = 590.69 : x
  2. Step 2: Convert to fraction form
    1,054.32/1,579.46 = 590.69/x
  3. Step 3: Cross multiply
    1,054.32x = 1,579.46 × 590.69
  4. Step 4: Simplify right side
    1,054.32x = 932,971.23
  5. Step 5: Solve for x
    x = 932,971.23/1,054.32
  6. Step 6: Final answer
    x = 884.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.