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Finding the Fourth Proportional to 858.76, 1,288.46 and 469.24

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Solution

The fourth proportional to 858.76, 1,288.46 and 469.24 is: 704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.76 : 1,288.46 = 469.24 : x
  2. Step 2: Convert to fraction form
    858.76/1,288.46 = 469.24/x
  3. Step 3: Cross multiply
    858.76x = 1,288.46 × 469.24
  4. Step 4: Simplify right side
    858.76x = 604,596.97
  5. Step 5: Solve for x
    x = 604,596.97/858.76
  6. Step 6: Final answer
    x = 704.03

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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.