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Finding the Fourth Proportional to 1,053.60, 1,580.62 and 323.22

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Solution

The fourth proportional to 1,053.60, 1,580.62 and 323.22 is: 484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.60 : 1,580.62 = 323.22 : x
  2. Step 2: Convert to fraction form
    1,053.60/1,580.62 = 323.22/x
  3. Step 3: Cross multiply
    1,053.60x = 1,580.62 × 323.22
  4. Step 4: Simplify right side
    1,053.60x = 510,888.00
  5. Step 5: Solve for x
    x = 510,888.00/1,053.60
  6. Step 6: Final answer
    x = 484.90

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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.