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Finding the Fourth Proportional to 1,050.91, 1,450.26 and 585.16

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Solution

The fourth proportional to 1,050.91, 1,450.26 and 585.16 is: 807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.91 : 1,450.26 = 585.16 : x
  2. Step 2: Convert to fraction form
    1,050.91/1,450.26 = 585.16/x
  3. Step 3: Cross multiply
    1,050.91x = 1,450.26 × 585.16
  4. Step 4: Simplify right side
    1,050.91x = 848,634.14
  5. Step 5: Solve for x
    x = 848,634.14/1,050.91
  6. Step 6: Final answer
    x = 807.52

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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.