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Finding the Fourth Proportional to 1,037.57, 1,553.81 and 928.22

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Solution

The fourth proportional to 1,037.57, 1,553.81 and 928.22 is: 1,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.57 : 1,553.81 = 928.22 : x
  2. Step 2: Convert to fraction form
    1,037.57/1,553.81 = 928.22/x
  3. Step 3: Cross multiply
    1,037.57x = 1,553.81 × 928.22
  4. Step 4: Simplify right side
    1,037.57x = 1,442,265.11
  5. Step 5: Solve for x
    x = 1,442,265.11/1,037.57
  6. Step 6: Final answer
    x = 1,390.05

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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.