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Finding the Fourth Proportional to 1,508.51, 2,262.61 and 584.05

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Solution

The fourth proportional to 1,508.51, 2,262.61 and 584.05 is: 876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.51 : 2,262.61 = 584.05 : x
  2. Step 2: Convert to fraction form
    1,508.51/2,262.61 = 584.05/x
  3. Step 3: Cross multiply
    1,508.51x = 2,262.61 × 584.05
  4. Step 4: Simplify right side
    1,508.51x = 1,321,477.37
  5. Step 5: Solve for x
    x = 1,321,477.37/1,508.51
  6. Step 6: Final answer
    x = 876.01

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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.