Home / 1,032.14-1,547.26-338.38

Finding the Fourth Proportional to 1,032.14, 1,547.26 and 338.38

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Solution

The fourth proportional to 1,032.14, 1,547.26 and 338.38 is: 507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.14 : 1,547.26 = 338.38 : x
  2. Step 2: Convert to fraction form
    1,032.14/1,547.26 = 338.38/x
  3. Step 3: Cross multiply
    1,032.14x = 1,547.26 × 338.38
  4. Step 4: Simplify right side
    1,032.14x = 523,561.84
  5. Step 5: Solve for x
    x = 523,561.84/1,032.14
  6. Step 6: Final answer
    x = 507.26

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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.