Home / 1,496.59-2,065.23-824.38

Finding the Fourth Proportional to 1,496.59, 2,065.23 and 824.38

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Solution

The fourth proportional to 1,496.59, 2,065.23 and 824.38 is: 1,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.59 : 2,065.23 = 824.38 : x
  2. Step 2: Convert to fraction form
    1,496.59/2,065.23 = 824.38/x
  3. Step 3: Cross multiply
    1,496.59x = 2,065.23 × 824.38
  4. Step 4: Simplify right side
    1,496.59x = 1,702,529.14
  5. Step 5: Solve for x
    x = 1,702,529.14/1,496.59
  6. Step 6: Final answer
    x = 1,137.60

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1.5x scale

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.