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Finding the Fourth Proportional to 1,107.02, 1,661.02 and 586.90

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Solution

The fourth proportional to 1,107.02, 1,661.02 and 586.90 is: 880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.02 : 1,661.02 = 586.90 : x
  2. Step 2: Convert to fraction form
    1,107.02/1,661.02 = 586.90/x
  3. Step 3: Cross multiply
    1,107.02x = 1,661.02 × 586.90
  4. Step 4: Simplify right side
    1,107.02x = 974,852.64
  5. Step 5: Solve for x
    x = 974,852.64/1,107.02
  6. Step 6: Final answer
    x = 880.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.