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Finding the Fourth Proportional to 858.25, 1,184.39 and 509.14

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Solution

The fourth proportional to 858.25, 1,184.39 and 509.14 is: 702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.25 : 1,184.39 = 509.14 : x
  2. Step 2: Convert to fraction form
    858.25/1,184.39 = 509.14/x
  3. Step 3: Cross multiply
    858.25x = 1,184.39 × 509.14
  4. Step 4: Simplify right side
    858.25x = 603,020.32
  5. Step 5: Solve for x
    x = 603,020.32/858.25
  6. Step 6: Final answer
    x = 702.62

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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.