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Finding the Fourth Proportional to 1,508.34, 2,263.28 and 584.54

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Solution

The fourth proportional to 1,508.34, 2,263.28 and 584.54 is: 877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.34 : 2,263.28 = 584.54 : x
  2. Step 2: Convert to fraction form
    1,508.34/2,263.28 = 584.54/x
  3. Step 3: Cross multiply
    1,508.34x = 2,263.28 × 584.54
  4. Step 4: Simplify right side
    1,508.34x = 1,322,971.94
  5. Step 5: Solve for x
    x = 1,322,971.94/1,508.34
  6. Step 6: Final answer
    x = 877.10

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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.