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Finding the Fourth Proportional to 775.86, 1,070.16 and 565.67

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Solution

The fourth proportional to 775.86, 1,070.16 and 565.67 is: 780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.86 : 1,070.16 = 565.67 : x
  2. Step 2: Convert to fraction form
    775.86/1,070.16 = 565.67/x
  3. Step 3: Cross multiply
    775.86x = 1,070.16 × 565.67
  4. Step 4: Simplify right side
    775.86x = 605,352.06
  5. Step 5: Solve for x
    x = 605,352.06/775.86
  6. Step 6: Final answer
    x = 780.23

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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.