Home / 1,497.29-2,066.18-824.96

Finding the Fourth Proportional to 1,497.29, 2,066.18 and 824.96

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Solution

The fourth proportional to 1,497.29, 2,066.18 and 824.96 is: 1,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.29 : 2,066.18 = 824.96 : x
  2. Step 2: Convert to fraction form
    1,497.29/2,066.18 = 824.96/x
  3. Step 3: Cross multiply
    1,497.29x = 2,066.18 × 824.96
  4. Step 4: Simplify right side
    1,497.29x = 1,704,511.73
  5. Step 5: Solve for x
    x = 1,704,511.73/1,497.29
  6. Step 6: Final answer
    x = 1,138.40

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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.