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Finding the Fourth Proportional to 858.47, 1,282.48 and 547.85

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Solution

The fourth proportional to 858.47, 1,282.48 and 547.85 is: 818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.47 : 1,282.48 = 547.85 : x
  2. Step 2: Convert to fraction form
    858.47/1,282.48 = 547.85/x
  3. Step 3: Cross multiply
    858.47x = 1,282.48 × 547.85
  4. Step 4: Simplify right side
    858.47x = 702,606.67
  5. Step 5: Solve for x
    x = 702,606.67/858.47
  6. Step 6: Final answer
    x = 818.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.