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Finding the Fourth Proportional to 1,037.79, 1,557.43 and 422.06

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Solution

The fourth proportional to 1,037.79, 1,557.43 and 422.06 is: 633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.79 : 1,557.43 = 422.06 : x
  2. Step 2: Convert to fraction form
    1,037.79/1,557.43 = 422.06/x
  3. Step 3: Cross multiply
    1,037.79x = 1,557.43 × 422.06
  4. Step 4: Simplify right side
    1,037.79x = 657,320.06
  5. Step 5: Solve for x
    x = 657,320.06/1,037.79
  6. Step 6: Final answer
    x = 633.38

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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.