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Finding the Fourth Proportional to 1,106.41, 1,660.07 and 587.00

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Solution

The fourth proportional to 1,106.41, 1,660.07 and 587.00 is: 880.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.41 : 1,660.07 = 587.00 : x
  2. Step 2: Convert to fraction form
    1,106.41/1,660.07 = 587.00/x
  3. Step 3: Cross multiply
    1,106.41x = 1,660.07 × 587.00
  4. Step 4: Simplify right side
    1,106.41x = 974,449.85
  5. Step 5: Solve for x
    x = 974,449.85/1,106.41
  6. Step 6: Final answer
    x = 880.73

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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.