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Finding the Fourth Proportional to 1,265.76, 1,895.40 and 779.76

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Solution

The fourth proportional to 1,265.76, 1,895.40 and 779.76 is: 1,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.76 : 1,895.40 = 779.76 : x
  2. Step 2: Convert to fraction form
    1,265.76/1,895.40 = 779.76/x
  3. Step 3: Cross multiply
    1,265.76x = 1,895.40 × 779.76
  4. Step 4: Simplify right side
    1,265.76x = 1,477,957.10
  5. Step 5: Solve for x
    x = 1,477,957.10/1,265.76
  6. Step 6: Final answer
    x = 1,167.64

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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.