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Finding the Fourth Proportional to 880.45, 1,214.68 and 565.67

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Solution

The fourth proportional to 880.45, 1,214.68 and 565.67 is: 780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.45 : 1,214.68 = 565.67 : x
  2. Step 2: Convert to fraction form
    880.45/1,214.68 = 565.67/x
  3. Step 3: Cross multiply
    880.45x = 1,214.68 × 565.67
  4. Step 4: Simplify right side
    880.45x = 687,103.89
  5. Step 5: Solve for x
    x = 687,103.89/880.45
  6. Step 6: Final answer
    x = 780.40

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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.