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Finding the Fourth Proportional to 1,366.53, 1,885.91 and 777.25

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Solution

The fourth proportional to 1,366.53, 1,885.91 and 777.25 is: 1,072.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.53 : 1,885.91 = 777.25 : x
  2. Step 2: Convert to fraction form
    1,366.53/1,885.91 = 777.25/x
  3. Step 3: Cross multiply
    1,366.53x = 1,885.91 × 777.25
  4. Step 4: Simplify right side
    1,366.53x = 1,465,823.55
  5. Step 5: Solve for x
    x = 1,465,823.55/1,366.53
  6. Step 6: Final answer
    x = 1,072.66

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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.