Home / 1,140.26-1,710.63-677.50

Finding the Fourth Proportional to 1,140.26, 1,710.63 and 677.50

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Solution

The fourth proportional to 1,140.26, 1,710.63 and 677.50 is: 1,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.26 : 1,710.63 = 677.50 : x
  2. Step 2: Convert to fraction form
    1,140.26/1,710.63 = 677.50/x
  3. Step 3: Cross multiply
    1,140.26x = 1,710.63 × 677.50
  4. Step 4: Simplify right side
    1,140.26x = 1,158,947.55
  5. Step 5: Solve for x
    x = 1,158,947.55/1,140.26
  6. Step 6: Final answer
    x = 1,016.39

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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.