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Finding the Fourth Proportional to 858.24, 1,285.20 and 511.74

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Solution

The fourth proportional to 858.24, 1,285.20 and 511.74 is: 766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.24 : 1,285.20 = 511.74 : x
  2. Step 2: Convert to fraction form
    858.24/1,285.20 = 511.74/x
  3. Step 3: Cross multiply
    858.24x = 1,285.20 × 511.74
  4. Step 4: Simplify right side
    858.24x = 657,688.25
  5. Step 5: Solve for x
    x = 657,688.25/858.24
  6. Step 6: Final answer
    x = 766.32

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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.