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Finding the Fourth Proportional to 1,264.09, 1,895.74 and 483.52

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Solution

The fourth proportional to 1,264.09, 1,895.74 and 483.52 is: 725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.09 : 1,895.74 = 483.52 : x
  2. Step 2: Convert to fraction form
    1,264.09/1,895.74 = 483.52/x
  3. Step 3: Cross multiply
    1,264.09x = 1,895.74 × 483.52
  4. Step 4: Simplify right side
    1,264.09x = 916,628.20
  5. Step 5: Solve for x
    x = 916,628.20/1,264.09
  6. Step 6: Final answer
    x = 725.13

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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.