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Finding the Fourth Proportional to 841.86, 1,162.25 and 562.57

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Solution

The fourth proportional to 841.86, 1,162.25 and 562.57 is: 776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.86 : 1,162.25 = 562.57 : x
  2. Step 2: Convert to fraction form
    841.86/1,162.25 = 562.57/x
  3. Step 3: Cross multiply
    841.86x = 1,162.25 × 562.57
  4. Step 4: Simplify right side
    841.86x = 653,843.37
  5. Step 5: Solve for x
    x = 653,843.37/841.86
  6. Step 6: Final answer
    x = 776.67

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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.