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Finding the Fourth Proportional to 1,027.64, 1,418.16 and 585.53

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Solution

The fourth proportional to 1,027.64, 1,418.16 and 585.53 is: 808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.64 : 1,418.16 = 585.53 : x
  2. Step 2: Convert to fraction form
    1,027.64/1,418.16 = 585.53/x
  3. Step 3: Cross multiply
    1,027.64x = 1,418.16 × 585.53
  4. Step 4: Simplify right side
    1,027.64x = 830,375.22
  5. Step 5: Solve for x
    x = 830,375.22/1,027.64
  6. Step 6: Final answer
    x = 808.04

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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.