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Finding the Fourth Proportional to 858.71, 1,184.92 and 504.57

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Solution

The fourth proportional to 858.71, 1,184.92 and 504.57 is: 696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.71 : 1,184.92 = 504.57 : x
  2. Step 2: Convert to fraction form
    858.71/1,184.92 = 504.57/x
  3. Step 3: Cross multiply
    858.71x = 1,184.92 × 504.57
  4. Step 4: Simplify right side
    858.71x = 597,875.08
  5. Step 5: Solve for x
    x = 597,875.08/858.71
  6. Step 6: Final answer
    x = 696.25

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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.