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Finding the Fourth Proportional to 1,509.48, 2,262.12 and 685.74

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Solution

The fourth proportional to 1,509.48, 2,262.12 and 685.74 is: 1,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.48 : 2,262.12 = 685.74 : x
  2. Step 2: Convert to fraction form
    1,509.48/2,262.12 = 685.74/x
  3. Step 3: Cross multiply
    1,509.48x = 2,262.12 × 685.74
  4. Step 4: Simplify right side
    1,509.48x = 1,551,226.17
  5. Step 5: Solve for x
    x = 1,551,226.17/1,509.48
  6. Step 6: Final answer
    x = 1,027.66

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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.