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Finding the Fourth Proportional to 857.72, 1,184.06 and 543.04

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Solution

The fourth proportional to 857.72, 1,184.06 and 543.04 is: 749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.72 : 1,184.06 = 543.04 : x
  2. Step 2: Convert to fraction form
    857.72/1,184.06 = 543.04/x
  3. Step 3: Cross multiply
    857.72x = 1,184.06 × 543.04
  4. Step 4: Simplify right side
    857.72x = 642,990.34
  5. Step 5: Solve for x
    x = 642,990.34/857.72
  6. Step 6: Final answer
    x = 749.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.