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Finding the Fourth Proportional to 1,121.12, 1,547.22 and 649.17

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Solution

The fourth proportional to 1,121.12, 1,547.22 and 649.17 is: 895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.12 : 1,547.22 = 649.17 : x
  2. Step 2: Convert to fraction form
    1,121.12/1,547.22 = 649.17/x
  3. Step 3: Cross multiply
    1,121.12x = 1,547.22 × 649.17
  4. Step 4: Simplify right side
    1,121.12x = 1,004,408.81
  5. Step 5: Solve for x
    x = 1,004,408.81/1,121.12
  6. Step 6: Final answer
    x = 895.90

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