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Finding the Fourth Proportional to 1,037.80, 1,564.81 and 908.20

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Solution

The fourth proportional to 1,037.80, 1,564.81 and 908.20 is: 1,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.80 : 1,564.81 = 908.20 : x
  2. Step 2: Convert to fraction form
    1,037.80/1,564.81 = 908.20/x
  3. Step 3: Cross multiply
    1,037.80x = 1,564.81 × 908.20
  4. Step 4: Simplify right side
    1,037.80x = 1,421,160.44
  5. Step 5: Solve for x
    x = 1,421,160.44/1,037.80
  6. Step 6: Final answer
    x = 1,369.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.