Home / 1,577.28-2,364.90-653.20

Finding the Fourth Proportional to 1,577.28, 2,364.90 and 653.20

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Solution

The fourth proportional to 1,577.28, 2,364.90 and 653.20 is: 979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.28 : 2,364.90 = 653.20 : x
  2. Step 2: Convert to fraction form
    1,577.28/2,364.90 = 653.20/x
  3. Step 3: Cross multiply
    1,577.28x = 2,364.90 × 653.20
  4. Step 4: Simplify right side
    1,577.28x = 1,544,752.68
  5. Step 5: Solve for x
    x = 1,544,752.68/1,577.28
  6. Step 6: Final answer
    x = 979.38

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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.