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Finding the Fourth Proportional to 1,111.17, 1,661.99 and 647.79

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Solution

The fourth proportional to 1,111.17, 1,661.99 and 647.79 is: 968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.17 : 1,661.99 = 647.79 : x
  2. Step 2: Convert to fraction form
    1,111.17/1,661.99 = 647.79/x
  3. Step 3: Cross multiply
    1,111.17x = 1,661.99 × 647.79
  4. Step 4: Simplify right side
    1,111.17x = 1,076,617.26
  5. Step 5: Solve for x
    x = 1,076,617.26/1,111.17
  6. Step 6: Final answer
    x = 968.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.