Home / 1,017.64-1,516.37-976.36

Finding the Fourth Proportional to 1,017.64, 1,516.37 and 976.36

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Solution

The fourth proportional to 1,017.64, 1,516.37 and 976.36 is: 1,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.64 : 1,516.37 = 976.36 : x
  2. Step 2: Convert to fraction form
    1,017.64/1,516.37 = 976.36/x
  3. Step 3: Cross multiply
    1,017.64x = 1,516.37 × 976.36
  4. Step 4: Simplify right side
    1,017.64x = 1,480,523.01
  5. Step 5: Solve for x
    x = 1,480,523.01/1,017.64
  6. Step 6: Final answer
    x = 1,454.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.