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Finding the Fourth Proportional to 1,053.22, 1,580.02 and 359.96

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Solution

The fourth proportional to 1,053.22, 1,580.02 and 359.96 is: 540.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.22 : 1,580.02 = 359.96 : x
  2. Step 2: Convert to fraction form
    1,053.22/1,580.02 = 359.96/x
  3. Step 3: Cross multiply
    1,053.22x = 1,580.02 × 359.96
  4. Step 4: Simplify right side
    1,053.22x = 568,742.20
  5. Step 5: Solve for x
    x = 568,742.20/1,053.22
  6. Step 6: Final answer
    x = 540.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.