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Finding the Fourth Proportional to 856.08, 1,284.07 and 508.33

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Solution

The fourth proportional to 856.08, 1,284.07 and 508.33 is: 762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.08 : 1,284.07 = 508.33 : x
  2. Step 2: Convert to fraction form
    856.08/1,284.07 = 508.33/x
  3. Step 3: Cross multiply
    856.08x = 1,284.07 × 508.33
  4. Step 4: Simplify right side
    856.08x = 652,731.30
  5. Step 5: Solve for x
    x = 652,731.30/856.08
  6. Step 6: Final answer
    x = 762.47

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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.