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Finding the Fourth Proportional to 1,102.29, 1,653.57 and 954.87

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Solution

The fourth proportional to 1,102.29, 1,653.57 and 954.87 is: 1,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.29 : 1,653.57 = 954.87 : x
  2. Step 2: Convert to fraction form
    1,102.29/1,653.57 = 954.87/x
  3. Step 3: Cross multiply
    1,102.29x = 1,653.57 × 954.87
  4. Step 4: Simplify right side
    1,102.29x = 1,578,944.39
  5. Step 5: Solve for x
    x = 1,578,944.39/1,102.29
  6. Step 6: Final answer
    x = 1,432.42

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Why These Related Problems?

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