Home / 1,010.08-1,516.47-977.28

Finding the Fourth Proportional to 1,010.08, 1,516.47 and 977.28

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Solution

The fourth proportional to 1,010.08, 1,516.47 and 977.28 is: 1,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.08 : 1,516.47 = 977.28 : x
  2. Step 2: Convert to fraction form
    1,010.08/1,516.47 = 977.28/x
  3. Step 3: Cross multiply
    1,010.08x = 1,516.47 × 977.28
  4. Step 4: Simplify right side
    1,010.08x = 1,482,015.80
  5. Step 5: Solve for x
    x = 1,482,015.80/1,010.08
  6. Step 6: Final answer
    x = 1,467.23

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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.