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Finding the Fourth Proportional to 1,038.90, 1,558.49 and 380.69

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Solution

The fourth proportional to 1,038.90, 1,558.49 and 380.69 is: 571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.90 : 1,558.49 = 380.69 : x
  2. Step 2: Convert to fraction form
    1,038.90/1,558.49 = 380.69/x
  3. Step 3: Cross multiply
    1,038.90x = 1,558.49 × 380.69
  4. Step 4: Simplify right side
    1,038.90x = 593,291.86
  5. Step 5: Solve for x
    x = 593,291.86/1,038.90
  6. Step 6: Final answer
    x = 571.08

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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.