Home / 1,121.24-1,547.53-649.21

Finding the Fourth Proportional to 1,121.24, 1,547.53 and 649.21

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Solution

The fourth proportional to 1,121.24, 1,547.53 and 649.21 is: 896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.24 : 1,547.53 = 649.21 : x
  2. Step 2: Convert to fraction form
    1,121.24/1,547.53 = 649.21/x
  3. Step 3: Cross multiply
    1,121.24x = 1,547.53 × 649.21
  4. Step 4: Simplify right side
    1,121.24x = 1,004,670.10
  5. Step 5: Solve for x
    x = 1,004,670.10/1,121.24
  6. Step 6: Final answer
    x = 896.04

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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.