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Finding the Fourth Proportional to 1,221, 1,830.24 and 572.16

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Solution

The fourth proportional to 1,221, 1,830.24 and 572.16 is: 857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221 : 1,830.24 = 572.16 : x
  2. Step 2: Convert to fraction form
    1,221/1,830.24 = 572.16/x
  3. Step 3: Cross multiply
    1,221x = 1,830.24 × 572.16
  4. Step 4: Simplify right side
    1,221x = 1,047,190.12
  5. Step 5: Solve for x
    x = 1,047,190.12/1,221
  6. Step 6: Final answer
    x = 857.65

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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.