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Finding the Fourth Proportional to 1,051, 1,450.50 and 585.16

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Solution

The fourth proportional to 1,051, 1,450.50 and 585.16 is: 807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051 : 1,450.50 = 585.16 : x
  2. Step 2: Convert to fraction form
    1,051/1,450.50 = 585.16/x
  3. Step 3: Cross multiply
    1,051x = 1,450.50 × 585.16
  4. Step 4: Simplify right side
    1,051x = 848,774.58
  5. Step 5: Solve for x
    x = 848,774.58/1,051
  6. Step 6: Final answer
    x = 807.59

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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.