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Finding the Fourth Proportional to 1,435.82, 2,153.97 and 705.47

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Solution

The fourth proportional to 1,435.82, 2,153.97 and 705.47 is: 1,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.82 : 2,153.97 = 705.47 : x
  2. Step 2: Convert to fraction form
    1,435.82/2,153.97 = 705.47/x
  3. Step 3: Cross multiply
    1,435.82x = 2,153.97 × 705.47
  4. Step 4: Simplify right side
    1,435.82x = 1,519,550.45
  5. Step 5: Solve for x
    x = 1,519,550.45/1,435.82
  6. Step 6: Final answer
    x = 1,058.32

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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.