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Finding the Fourth Proportional to 1,153.37, 1,718.87 and 1,116.47

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Solution

The fourth proportional to 1,153.37, 1,718.87 and 1,116.47 is: 1,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.37 : 1,718.87 = 1,116.47 : x
  2. Step 2: Convert to fraction form
    1,153.37/1,718.87 = 1,116.47/x
  3. Step 3: Cross multiply
    1,153.37x = 1,718.87 × 1,116.47
  4. Step 4: Simplify right side
    1,153.37x = 1,919,052.61
  5. Step 5: Solve for x
    x = 1,919,052.61/1,153.37
  6. Step 6: Final answer
    x = 1,663.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.