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Finding the Fourth Proportional to 705.97, 973.74 and 607.56

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Solution

The fourth proportional to 705.97, 973.74 and 607.56 is: 838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.97 : 973.74 = 607.56 : x
  2. Step 2: Convert to fraction form
    705.97/973.74 = 607.56/x
  3. Step 3: Cross multiply
    705.97x = 973.74 × 607.56
  4. Step 4: Simplify right side
    705.97x = 591,605.47
  5. Step 5: Solve for x
    x = 591,605.47/705.97
  6. Step 6: Final answer
    x = 838.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.