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Finding the Fourth Proportional to 1,139.77, 1,711.18 and 677.77

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Solution

The fourth proportional to 1,139.77, 1,711.18 and 677.77 is: 1,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.77 : 1,711.18 = 677.77 : x
  2. Step 2: Convert to fraction form
    1,139.77/1,711.18 = 677.77/x
  3. Step 3: Cross multiply
    1,139.77x = 1,711.18 × 677.77
  4. Step 4: Simplify right side
    1,139.77x = 1,159,779.23
  5. Step 5: Solve for x
    x = 1,159,779.23/1,139.77
  6. Step 6: Final answer
    x = 1,017.55

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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.