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Finding the Fourth Proportional to 858.18, 1,184.70 and 543.60

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Solution

The fourth proportional to 858.18, 1,184.70 and 543.60 is: 750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.18 : 1,184.70 = 543.60 : x
  2. Step 2: Convert to fraction form
    858.18/1,184.70 = 543.60/x
  3. Step 3: Cross multiply
    858.18x = 1,184.70 × 543.60
  4. Step 4: Simplify right side
    858.18x = 644,002.92
  5. Step 5: Solve for x
    x = 644,002.92/858.18
  6. Step 6: Final answer
    x = 750.43

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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.