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Finding the Fourth Proportional to 1,053.52, 1,579.80 and 403.84

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Solution

The fourth proportional to 1,053.52, 1,579.80 and 403.84 is: 605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.52 : 1,579.80 = 403.84 : x
  2. Step 2: Convert to fraction form
    1,053.52/1,579.80 = 403.84/x
  3. Step 3: Cross multiply
    1,053.52x = 1,579.80 × 403.84
  4. Step 4: Simplify right side
    1,053.52x = 637,986.43
  5. Step 5: Solve for x
    x = 637,986.43/1,053.52
  6. Step 6: Final answer
    x = 605.58

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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.