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Finding the Fourth Proportional to 1,600.01, 2,397.84 and 776.64

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Solution

The fourth proportional to 1,600.01, 2,397.84 and 776.64 is: 1,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.01 : 2,397.84 = 776.64 : x
  2. Step 2: Convert to fraction form
    1,600.01/2,397.84 = 776.64/x
  3. Step 3: Cross multiply
    1,600.01x = 2,397.84 × 776.64
  4. Step 4: Simplify right side
    1,600.01x = 1,862,258.46
  5. Step 5: Solve for x
    x = 1,862,258.46/1,600.01
  6. Step 6: Final answer
    x = 1,163.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.