Home / 1,487.70-2,053.04-824.57

Finding the Fourth Proportional to 1,487.70, 2,053.04 and 824.57

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Solution

The fourth proportional to 1,487.70, 2,053.04 and 824.57 is: 1,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.70 : 2,053.04 = 824.57 : x
  2. Step 2: Convert to fraction form
    1,487.70/2,053.04 = 824.57/x
  3. Step 3: Cross multiply
    1,487.70x = 2,053.04 × 824.57
  4. Step 4: Simplify right side
    1,487.70x = 1,692,860.80
  5. Step 5: Solve for x
    x = 1,692,860.80/1,487.70
  6. Step 6: Final answer
    x = 1,137.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.