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Finding the Fourth Proportional to 1,283.67, 1,924.13 and 553.30

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Solution

The fourth proportional to 1,283.67, 1,924.13 and 553.30 is: 829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.67 : 1,924.13 = 553.30 : x
  2. Step 2: Convert to fraction form
    1,283.67/1,924.13 = 553.30/x
  3. Step 3: Cross multiply
    1,283.67x = 1,924.13 × 553.30
  4. Step 4: Simplify right side
    1,283.67x = 1,064,621.13
  5. Step 5: Solve for x
    x = 1,064,621.13/1,283.67
  6. Step 6: Final answer
    x = 829.36

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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.