Home / 1,141.29-1,710.27-975.78

Finding the Fourth Proportional to 1,141.29, 1,710.27 and 975.78

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Solution

The fourth proportional to 1,141.29, 1,710.27 and 975.78 is: 1,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.29 : 1,710.27 = 975.78 : x
  2. Step 2: Convert to fraction form
    1,141.29/1,710.27 = 975.78/x
  3. Step 3: Cross multiply
    1,141.29x = 1,710.27 × 975.78
  4. Step 4: Simplify right side
    1,141.29x = 1,668,847.26
  5. Step 5: Solve for x
    x = 1,668,847.26/1,141.29
  6. Step 6: Final answer
    x = 1,462.25

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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.