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Finding the Fourth Proportional to 1,406.66, 2,108.57 and 675.86

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Solution

The fourth proportional to 1,406.66, 2,108.57 and 675.86 is: 1,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.66 : 2,108.57 = 675.86 : x
  2. Step 2: Convert to fraction form
    1,406.66/2,108.57 = 675.86/x
  3. Step 3: Cross multiply
    1,406.66x = 2,108.57 × 675.86
  4. Step 4: Simplify right side
    1,406.66x = 1,425,084.20
  5. Step 5: Solve for x
    x = 1,425,084.20/1,406.66
  6. Step 6: Final answer
    x = 1,013.10

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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.