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Finding the Fourth Proportional to 856.65, 1,289.66 and 584.47

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Solution

The fourth proportional to 856.65, 1,289.66 and 584.47 is: 879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.65 : 1,289.66 = 584.47 : x
  2. Step 2: Convert to fraction form
    856.65/1,289.66 = 584.47/x
  3. Step 3: Cross multiply
    856.65x = 1,289.66 × 584.47
  4. Step 4: Simplify right side
    856.65x = 753,767.58
  5. Step 5: Solve for x
    x = 753,767.58/856.65
  6. Step 6: Final answer
    x = 879.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.