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Finding the Fourth Proportional to 1,289.47, 1,778.16 and 1,103.58

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Solution

The fourth proportional to 1,289.47, 1,778.16 and 1,103.58 is: 1,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.47 : 1,778.16 = 1,103.58 : x
  2. Step 2: Convert to fraction form
    1,289.47/1,778.16 = 1,103.58/x
  3. Step 3: Cross multiply
    1,289.47x = 1,778.16 × 1,103.58
  4. Step 4: Simplify right side
    1,289.47x = 1,962,341.81
  5. Step 5: Solve for x
    x = 1,962,341.81/1,289.47
  6. Step 6: Final answer
    x = 1,521.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.