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Finding the Fourth Proportional to 1,038.43, 1,557.66 and 422.02

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Solution

The fourth proportional to 1,038.43, 1,557.66 and 422.02 is: 633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.43 : 1,557.66 = 422.02 : x
  2. Step 2: Convert to fraction form
    1,038.43/1,557.66 = 422.02/x
  3. Step 3: Cross multiply
    1,038.43x = 1,557.66 × 422.02
  4. Step 4: Simplify right side
    1,038.43x = 657,363.67
  5. Step 5: Solve for x
    x = 657,363.67/1,038.43
  6. Step 6: Final answer
    x = 633.04

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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.