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Finding the Fourth Proportional to 856.42, 1,284.66 and 567.70

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Solution

The fourth proportional to 856.42, 1,284.66 and 567.70 is: 851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.42 : 1,284.66 = 567.70 : x
  2. Step 2: Convert to fraction form
    856.42/1,284.66 = 567.70/x
  3. Step 3: Cross multiply
    856.42x = 1,284.66 × 567.70
  4. Step 4: Simplify right side
    856.42x = 729,301.48
  5. Step 5: Solve for x
    x = 729,301.48/856.42
  6. Step 6: Final answer
    x = 851.57

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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.