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Finding the Fourth Proportional to 705.71, 1,057.66 and 340.00

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Solution

The fourth proportional to 705.71, 1,057.66 and 340.00 is: 509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.71 : 1,057.66 = 340.00 : x
  2. Step 2: Convert to fraction form
    705.71/1,057.66 = 340.00/x
  3. Step 3: Cross multiply
    705.71x = 1,057.66 × 340.00
  4. Step 4: Simplify right side
    705.71x = 359,600.91
  5. Step 5: Solve for x
    x = 359,600.91/705.71
  6. Step 6: Final answer
    x = 509.56

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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.