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Finding the Fourth Proportional to 1,465.71, 2,197.82 and 772.76

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Solution

The fourth proportional to 1,465.71, 2,197.82 and 772.76 is: 1,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.71 : 2,197.82 = 772.76 : x
  2. Step 2: Convert to fraction form
    1,465.71/2,197.82 = 772.76/x
  3. Step 3: Cross multiply
    1,465.71x = 2,197.82 × 772.76
  4. Step 4: Simplify right side
    1,465.71x = 1,698,372.53
  5. Step 5: Solve for x
    x = 1,698,372.53/1,465.71
  6. Step 6: Final answer
    x = 1,158.74

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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.