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Finding the Fourth Proportional to 776.07, 1,070.97 and 589.71

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Solution

The fourth proportional to 776.07, 1,070.97 and 589.71 is: 813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.07 : 1,070.97 = 589.71 : x
  2. Step 2: Convert to fraction form
    776.07/1,070.97 = 589.71/x
  3. Step 3: Cross multiply
    776.07x = 1,070.97 × 589.71
  4. Step 4: Simplify right side
    776.07x = 631,561.72
  5. Step 5: Solve for x
    x = 631,561.72/776.07
  6. Step 6: Final answer
    x = 813.79

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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.