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Finding the Fourth Proportional to 856, 1,284.93 and 424.07

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Solution

The fourth proportional to 856, 1,284.93 and 424.07 is: 636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    856 : 1,284.93 = 424.07 : x
  2. Step 2: Convert to fraction form
    856/1,284.93 = 424.07/x
  3. Step 3: Cross multiply
    856x = 1,284.93 × 424.07
  4. Step 4: Simplify right side
    856x = 544,898.14
  5. Step 5: Solve for x
    x = 544,898.14/856
  6. Step 6: Final answer
    x = 636.56

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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.