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Finding the Fourth Proportional to 1,400.61, 2,099.51 and 705.18

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Solution

The fourth proportional to 1,400.61, 2,099.51 and 705.18 is: 1,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.61 : 2,099.51 = 705.18 : x
  2. Step 2: Convert to fraction form
    1,400.61/2,099.51 = 705.18/x
  3. Step 3: Cross multiply
    1,400.61x = 2,099.51 × 705.18
  4. Step 4: Simplify right side
    1,400.61x = 1,480,528.94
  5. Step 5: Solve for x
    x = 1,480,528.94/1,400.61
  6. Step 6: Final answer
    x = 1,057.06

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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.