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Finding the Fourth Proportional to 1,285.13, 1,927.40 and 360.77

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Solution

The fourth proportional to 1,285.13, 1,927.40 and 360.77 is: 541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.13 : 1,927.40 = 360.77 : x
  2. Step 2: Convert to fraction form
    1,285.13/1,927.40 = 360.77/x
  3. Step 3: Cross multiply
    1,285.13x = 1,927.40 × 360.77
  4. Step 4: Simplify right side
    1,285.13x = 695,351.11
  5. Step 5: Solve for x
    x = 695,351.11/1,285.13
  6. Step 6: Final answer
    x = 541.08

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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.