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Finding the Fourth Proportional to 776.01, 1,069.83 and 657.51

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Solution

The fourth proportional to 776.01, 1,069.83 and 657.51 is: 906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.01 : 1,069.83 = 657.51 : x
  2. Step 2: Convert to fraction form
    776.01/1,069.83 = 657.51/x
  3. Step 3: Cross multiply
    776.01x = 1,069.83 × 657.51
  4. Step 4: Simplify right side
    776.01x = 703,423.92
  5. Step 5: Solve for x
    x = 703,423.92/776.01
  6. Step 6: Final answer
    x = 906.46

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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.