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Finding the Fourth Proportional to 1,221.22, 1,832.58 and 572

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Solution

The fourth proportional to 1,221.22, 1,832.58 and 572 is: 858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.22 : 1,832.58 = 572 : x
  2. Step 2: Convert to fraction form
    1,221.22/1,832.58 = 572/x
  3. Step 3: Cross multiply
    1,221.22x = 1,832.58 × 572
  4. Step 4: Simplify right side
    1,221.22x = 1,048,235.76
  5. Step 5: Solve for x
    x = 1,048,235.76/1,221.22
  6. Step 6: Final answer
    x = 858.35

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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.