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Finding the Fourth Proportional to 1,038.97, 1,558.05 and 380.71

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Solution

The fourth proportional to 1,038.97, 1,558.05 and 380.71 is: 570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.97 : 1,558.05 = 380.71 : x
  2. Step 2: Convert to fraction form
    1,038.97/1,558.05 = 380.71/x
  3. Step 3: Cross multiply
    1,038.97x = 1,558.05 × 380.71
  4. Step 4: Simplify right side
    1,038.97x = 593,165.22
  5. Step 5: Solve for x
    x = 593,165.22/1,038.97
  6. Step 6: Final answer
    x = 570.92

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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.