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Finding the Fourth Proportional to 1,119.41, 1,544.84 and 677.15

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Solution

The fourth proportional to 1,119.41, 1,544.84 and 677.15 is: 934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.41 : 1,544.84 = 677.15 : x
  2. Step 2: Convert to fraction form
    1,119.41/1,544.84 = 677.15/x
  3. Step 3: Cross multiply
    1,119.41x = 1,544.84 × 677.15
  4. Step 4: Simplify right side
    1,119.41x = 1,046,088.41
  5. Step 5: Solve for x
    x = 1,046,088.41/1,119.41
  6. Step 6: Final answer
    x = 934.50

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Why These Related Problems?

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