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Finding the Fourth Proportional to 705.51, 1,057.40 and 397.66

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Solution

The fourth proportional to 705.51, 1,057.40 and 397.66 is: 596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.51 : 1,057.40 = 397.66 : x
  2. Step 2: Convert to fraction form
    705.51/1,057.40 = 397.66/x
  3. Step 3: Cross multiply
    705.51x = 1,057.40 × 397.66
  4. Step 4: Simplify right side
    705.51x = 420,486.76
  5. Step 5: Solve for x
    x = 420,486.76/705.51
  6. Step 6: Final answer
    x = 596.00

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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.