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Finding the Fourth Proportional to 1,285.17, 1,927.80 and 360.81

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Solution

The fourth proportional to 1,285.17, 1,927.80 and 360.81 is: 541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.17 : 1,927.80 = 360.81 : x
  2. Step 2: Convert to fraction form
    1,285.17/1,927.80 = 360.81/x
  3. Step 3: Cross multiply
    1,285.17x = 1,927.80 × 360.81
  4. Step 4: Simplify right side
    1,285.17x = 695,567.71
  5. Step 5: Solve for x
    x = 695,567.71/1,285.17
  6. Step 6: Final answer
    x = 541.23

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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.