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Finding the Fourth Proportional to 1,121.09, 1,547.76 and 767.53

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Solution

The fourth proportional to 1,121.09, 1,547.76 and 767.53 is: 1,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.09 : 1,547.76 = 767.53 : x
  2. Step 2: Convert to fraction form
    1,121.09/1,547.76 = 767.53/x
  3. Step 3: Cross multiply
    1,121.09x = 1,547.76 × 767.53
  4. Step 4: Simplify right side
    1,121.09x = 1,187,944.02
  5. Step 5: Solve for x
    x = 1,187,944.02/1,121.09
  6. Step 6: Final answer
    x = 1,059.63

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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.